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Finding the Fourth Proportional to 22,488.91, 31,046.56 and 14,535.65

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Solution

The fourth proportional to 22,488.91, 31,046.56 and 14,535.65 is: 20,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,488.91 : 31,046.56 = 14,535.65 : x
  2. Step 2: Convert to fraction form
    22,488.91/31,046.56 = 14,535.65/x
  3. Step 3: Cross multiply
    22,488.91x = 31,046.56 × 14,535.65
  4. Step 4: Simplify right side
    22,488.91x = 451,281,971.14
  5. Step 5: Solve for x
    x = 451,281,971.14/22,488.91
  6. Step 6: Final answer
    x = 20,066.87

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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.