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Finding the Fourth Proportional to 22,962.98, 31,689.38 and 12,892.16

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Solution

The fourth proportional to 22,962.98, 31,689.38 and 12,892.16 is: 17,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,962.98 : 31,689.38 = 12,892.16 : x
  2. Step 2: Convert to fraction form
    22,962.98/31,689.38 = 12,892.16/x
  3. Step 3: Cross multiply
    22,962.98x = 31,689.38 × 12,892.16
  4. Step 4: Simplify right side
    22,962.98x = 408,544,557.26
  5. Step 5: Solve for x
    x = 408,544,557.26/22,962.98
  6. Step 6: Final answer
    x = 17,791.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.