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Finding the Fourth Proportional to 22,691.30, 31,300.71 and 14,738.82

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Solution

The fourth proportional to 22,691.30, 31,300.71 and 14,738.82 is: 20,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.30 : 31,300.71 = 14,738.82 : x
  2. Step 2: Convert to fraction form
    22,691.30/31,300.71 = 14,738.82/x
  3. Step 3: Cross multiply
    22,691.30x = 31,300.71 × 14,738.82
  4. Step 4: Simplify right side
    22,691.30x = 461,335,530.56
  5. Step 5: Solve for x
    x = 461,335,530.56/22,691.30
  6. Step 6: Final answer
    x = 20,330.95

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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.