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Finding the Fourth Proportional to 24,215.91, 33,412.05 and 14,138.52

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Solution

The fourth proportional to 24,215.91, 33,412.05 and 14,138.52 is: 19,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.91 : 33,412.05 = 14,138.52 : x
  2. Step 2: Convert to fraction form
    24,215.91/33,412.05 = 14,138.52/x
  3. Step 3: Cross multiply
    24,215.91x = 33,412.05 × 14,138.52
  4. Step 4: Simplify right side
    24,215.91x = 472,396,937.17
  5. Step 5: Solve for x
    x = 472,396,937.17/24,215.91
  6. Step 6: Final answer
    x = 19,507.71

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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.