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Finding the Fourth Proportional to 19,666.78, 29,451.60 and 14,657.14

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Solution

The fourth proportional to 19,666.78, 29,451.60 and 14,657.14 is: 21,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.78 : 29,451.60 = 14,657.14 : x
  2. Step 2: Convert to fraction form
    19,666.78/29,451.60 = 14,657.14/x
  3. Step 3: Cross multiply
    19,666.78x = 29,451.60 × 14,657.14
  4. Step 4: Simplify right side
    19,666.78x = 431,676,224.42
  5. Step 5: Solve for x
    x = 431,676,224.42/19,666.78
  6. Step 6: Final answer
    x = 21,949.51

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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.