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Finding the Fourth Proportional to 11,220.80, 15,678.40 and 11,220.80

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Solution

The fourth proportional to 11,220.80, 15,678.40 and 11,220.80 is: 15,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.80 : 15,678.40 = 11,220.80 : x
  2. Step 2: Convert to fraction form
    11,220.80/15,678.40 = 11,220.80/x
  3. Step 3: Cross multiply
    11,220.80x = 15,678.40 × 11,220.80
  4. Step 4: Simplify right side
    11,220.80x = 175,924,190.72
  5. Step 5: Solve for x
    x = 175,924,190.72/11,220.80
  6. Step 6: Final answer
    x = 15,678.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.