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Finding the Fourth Proportional to 22,952, 31,679.16 and 14,006.90

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Solution

The fourth proportional to 22,952, 31,679.16 and 14,006.90 is: 19,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952 : 31,679.16 = 14,006.90 : x
  2. Step 2: Convert to fraction form
    22,952/31,679.16 = 14,006.90/x
  3. Step 3: Cross multiply
    22,952x = 31,679.16 × 14,006.90
  4. Step 4: Simplify right side
    22,952x = 443,726,826.20
  5. Step 5: Solve for x
    x = 443,726,826.20/22,952
  6. Step 6: Final answer
    x = 19,332.82

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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.