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Finding the Fourth Proportional to 22,464.96, 31,029.12 and 15,414.72

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Solution

The fourth proportional to 22,464.96, 31,029.12 and 15,414.72 is: 21,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.96 : 31,029.12 = 15,414.72 : x
  2. Step 2: Convert to fraction form
    22,464.96/31,029.12 = 15,414.72/x
  3. Step 3: Cross multiply
    22,464.96x = 31,029.12 × 15,414.72
  4. Step 4: Simplify right side
    22,464.96x = 478,305,196.65
  5. Step 5: Solve for x
    x = 478,305,196.65/22,464.96
  6. Step 6: Final answer
    x = 21,291.17

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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.