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Finding the Fourth Proportional to 13,714.42, 18,925.92 and 7,426.78

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Solution

The fourth proportional to 13,714.42, 18,925.92 and 7,426.78 is: 10,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.42 : 18,925.92 = 7,426.78 : x
  2. Step 2: Convert to fraction form
    13,714.42/18,925.92 = 7,426.78/x
  3. Step 3: Cross multiply
    13,714.42x = 18,925.92 × 7,426.78
  4. Step 4: Simplify right side
    13,714.42x = 140,558,644.14
  5. Step 5: Solve for x
    x = 140,558,644.14/13,714.42
  6. Step 6: Final answer
    x = 10,248.97

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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.