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Finding the Fourth Proportional to 16,402.17, 24,603.63 and 5,872.91

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Solution

The fourth proportional to 16,402.17, 24,603.63 and 5,872.91 is: 8,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.17 : 24,603.63 = 5,872.91 : x
  2. Step 2: Convert to fraction form
    16,402.17/24,603.63 = 5,872.91/x
  3. Step 3: Cross multiply
    16,402.17x = 24,603.63 × 5,872.91
  4. Step 4: Simplify right side
    16,402.17x = 144,494,781.65
  5. Step 5: Solve for x
    x = 144,494,781.65/16,402.17
  6. Step 6: Final answer
    x = 8,809.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.