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Finding the Fourth Proportional to 22,934.34, 31,649.72 and 13,373.96

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Solution

The fourth proportional to 22,934.34, 31,649.72 and 13,373.96 is: 18,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.34 : 31,649.72 = 13,373.96 : x
  2. Step 2: Convert to fraction form
    22,934.34/31,649.72 = 13,373.96/x
  3. Step 3: Cross multiply
    22,934.34x = 31,649.72 × 13,373.96
  4. Step 4: Simplify right side
    22,934.34x = 423,281,864.17
  5. Step 5: Solve for x
    x = 423,281,864.17/22,934.34
  6. Step 6: Final answer
    x = 18,456.25

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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.