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Finding the Fourth Proportional to 17,490.67, 24,137.13 and 9,532.90

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Solution

The fourth proportional to 17,490.67, 24,137.13 and 9,532.90 is: 13,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,490.67 : 24,137.13 = 9,532.90 : x
  2. Step 2: Convert to fraction form
    17,490.67/24,137.13 = 9,532.90/x
  3. Step 3: Cross multiply
    17,490.67x = 24,137.13 × 9,532.90
  4. Step 4: Simplify right side
    17,490.67x = 230,096,846.58
  5. Step 5: Solve for x
    x = 230,096,846.58/17,490.67
  6. Step 6: Final answer
    x = 13,155.40

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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.