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Finding the Fourth Proportional to 11,978,168.40, 17,967,252.60 and 6,584,734.80

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Solution

The fourth proportional to 11,978,168.40, 17,967,252.60 and 6,584,734.80 is: 9,877,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978,168.40 : 17,967,252.60 = 6,584,734.80 : x
  2. Step 2: Convert to fraction form
    11,978,168.40/17,967,252.60 = 6,584,734.80/x
  3. Step 3: Cross multiply
    11,978,168.40x = 17,967,252.60 × 6,584,734.80
  4. Step 4: Simplify right side
    11,978,168.40x = 118,309,593,455,610.48
  5. Step 5: Solve for x
    x = 118,309,593,455,610.48/11,978,168.40
  6. Step 6: Final answer
    x = 9,877,102.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.