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Finding the Fourth Proportional to 19,732.43, 29,598.65 and 14,473.10

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Solution

The fourth proportional to 19,732.43, 29,598.65 and 14,473.10 is: 21,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.43 : 29,598.65 = 14,473.10 : x
  2. Step 2: Convert to fraction form
    19,732.43/29,598.65 = 14,473.10/x
  3. Step 3: Cross multiply
    19,732.43x = 29,598.65 × 14,473.10
  4. Step 4: Simplify right side
    19,732.43x = 428,384,221.32
  5. Step 5: Solve for x
    x = 428,384,221.32/19,732.43
  6. Step 6: Final answer
    x = 21,709.65

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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.