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Finding the Fourth Proportional to 29,853.92, 44,712.80 and 14,282.56

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Solution

The fourth proportional to 29,853.92, 44,712.80 and 14,282.56 is: 21,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.92 : 44,712.80 = 14,282.56 : x
  2. Step 2: Convert to fraction form
    29,853.92/44,712.80 = 14,282.56/x
  3. Step 3: Cross multiply
    29,853.92x = 44,712.80 × 14,282.56
  4. Step 4: Simplify right side
    29,853.92x = 638,613,248.77
  5. Step 5: Solve for x
    x = 638,613,248.77/29,853.92
  6. Step 6: Final answer
    x = 21,391.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.