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Finding the Fourth Proportional to 14,780.96, 22,171.56 and 10,418

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Solution

The fourth proportional to 14,780.96, 22,171.56 and 10,418 is: 15,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.96 : 22,171.56 = 10,418 : x
  2. Step 2: Convert to fraction form
    14,780.96/22,171.56 = 10,418/x
  3. Step 3: Cross multiply
    14,780.96x = 22,171.56 × 10,418
  4. Step 4: Simplify right side
    14,780.96x = 230,983,312.08
  5. Step 5: Solve for x
    x = 230,983,312.08/14,780.96
  6. Step 6: Final answer
    x = 15,627.08

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