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Finding the Fourth Proportional to 16,760.71, 23,130.07 and 9,207.76

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Solution

The fourth proportional to 16,760.71, 23,130.07 and 9,207.76 is: 12,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760.71 : 23,130.07 = 9,207.76 : x
  2. Step 2: Convert to fraction form
    16,760.71/23,130.07 = 9,207.76/x
  3. Step 3: Cross multiply
    16,760.71x = 23,130.07 × 9,207.76
  4. Step 4: Simplify right side
    16,760.71x = 212,976,133.34
  5. Step 5: Solve for x
    x = 212,976,133.34/16,760.71
  6. Step 6: Final answer
    x = 12,706.87

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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.