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Finding the Fourth Proportional to 14,627.18, 21,943.04 and 4,764.16

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Solution

The fourth proportional to 14,627.18, 21,943.04 and 4,764.16 is: 7,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,627.18 : 21,943.04 = 4,764.16 : x
  2. Step 2: Convert to fraction form
    14,627.18/21,943.04 = 4,764.16/x
  3. Step 3: Cross multiply
    14,627.18x = 21,943.04 × 4,764.16
  4. Step 4: Simplify right side
    14,627.18x = 104,540,092.63
  5. Step 5: Solve for x
    x = 104,540,092.63/14,627.18
  6. Step 6: Final answer
    x = 7,146.98

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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.