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Finding the Fourth Proportional to 15,714.61, 21,686.75 and 9,425.77

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Solution

The fourth proportional to 15,714.61, 21,686.75 and 9,425.77 is: 13,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.61 : 21,686.75 = 9,425.77 : x
  2. Step 2: Convert to fraction form
    15,714.61/21,686.75 = 9,425.77/x
  3. Step 3: Cross multiply
    15,714.61x = 21,686.75 × 9,425.77
  4. Step 4: Simplify right side
    15,714.61x = 204,414,270.42
  5. Step 5: Solve for x
    x = 204,414,270.42/15,714.61
  6. Step 6: Final answer
    x = 13,007.91

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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.