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Finding the Fourth Proportional to 29,624.62, 40,882.45 and 17,689

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Solution

The fourth proportional to 29,624.62, 40,882.45 and 17,689 is: 24,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,624.62 : 40,882.45 = 17,689 : x
  2. Step 2: Convert to fraction form
    29,624.62/40,882.45 = 17,689/x
  3. Step 3: Cross multiply
    29,624.62x = 40,882.45 × 17,689
  4. Step 4: Simplify right side
    29,624.62x = 723,169,658.05
  5. Step 5: Solve for x
    x = 723,169,658.05/29,624.62
  6. Step 6: Final answer
    x = 24,411.10

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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.