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Finding the Fourth Proportional to 17,689.60, 24,415.13 and 10,140.99

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Solution

The fourth proportional to 17,689.60, 24,415.13 and 10,140.99 is: 13,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.60 : 24,415.13 = 10,140.99 : x
  2. Step 2: Convert to fraction form
    17,689.60/24,415.13 = 10,140.99/x
  3. Step 3: Cross multiply
    17,689.60x = 24,415.13 × 10,140.99
  4. Step 4: Simplify right side
    17,689.60x = 247,593,589.18
  5. Step 5: Solve for x
    x = 247,593,589.18/17,689.60
  6. Step 6: Final answer
    x = 13,996.56

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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.