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Finding the Fourth Proportional to 24,714.92, 34,107.08 and 13,957.82

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Solution

The fourth proportional to 24,714.92, 34,107.08 and 13,957.82 is: 19,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.92 : 34,107.08 = 13,957.82 : x
  2. Step 2: Convert to fraction form
    24,714.92/34,107.08 = 13,957.82/x
  3. Step 3: Cross multiply
    24,714.92x = 34,107.08 × 13,957.82
  4. Step 4: Simplify right side
    24,714.92x = 476,060,370.94
  5. Step 5: Solve for x
    x = 476,060,370.94/24,714.92
  6. Step 6: Final answer
    x = 19,262.06

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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.