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Finding the Fourth Proportional to 17,646.90, 24,351.13 and 9,688.95

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Solution

The fourth proportional to 17,646.90, 24,351.13 and 9,688.95 is: 13,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.90 : 24,351.13 = 9,688.95 : x
  2. Step 2: Convert to fraction form
    17,646.90/24,351.13 = 9,688.95/x
  3. Step 3: Cross multiply
    17,646.90x = 24,351.13 × 9,688.95
  4. Step 4: Simplify right side
    17,646.90x = 235,936,893.12
  5. Step 5: Solve for x
    x = 235,936,893.12/17,646.90
  6. Step 6: Final answer
    x = 13,369.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.