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Finding the Fourth Proportional to 16,760.76, 23,129.22 and 9,206.85

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Solution

The fourth proportional to 16,760.76, 23,129.22 and 9,206.85 is: 12,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760.76 : 23,129.22 = 9,206.85 : x
  2. Step 2: Convert to fraction form
    16,760.76/23,129.22 = 9,206.85/x
  3. Step 3: Cross multiply
    16,760.76x = 23,129.22 × 9,206.85
  4. Step 4: Simplify right side
    16,760.76x = 212,947,259.16
  5. Step 5: Solve for x
    x = 212,947,259.16/16,760.76
  6. Step 6: Final answer
    x = 12,705.11

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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.