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Finding the Fourth Proportional to 17,600.30, 24,288.68 and 9,641.99

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Solution

The fourth proportional to 17,600.30, 24,288.68 and 9,641.99 is: 13,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.30 : 24,288.68 = 9,641.99 : x
  2. Step 2: Convert to fraction form
    17,600.30/24,288.68 = 9,641.99/x
  3. Step 3: Cross multiply
    17,600.30x = 24,288.68 × 9,641.99
  4. Step 4: Simplify right side
    17,600.30x = 234,191,294.50
  5. Step 5: Solve for x
    x = 234,191,294.50/17,600.30
  6. Step 6: Final answer
    x = 13,306.10

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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.