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Finding the Fourth Proportional to 16,760.21, 23,129.15 and 9,207.14

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Solution

The fourth proportional to 16,760.21, 23,129.15 and 9,207.14 is: 12,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760.21 : 23,129.15 = 9,207.14 : x
  2. Step 2: Convert to fraction form
    16,760.21/23,129.15 = 9,207.14/x
  3. Step 3: Cross multiply
    16,760.21x = 23,129.15 × 9,207.14
  4. Step 4: Simplify right side
    16,760.21x = 212,953,160.45
  5. Step 5: Solve for x
    x = 212,953,160.45/16,760.21
  6. Step 6: Final answer
    x = 12,705.88

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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.