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Finding the Fourth Proportional to 16,201.46, 22,358.02 and 9,127.90

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Solution

The fourth proportional to 16,201.46, 22,358.02 and 9,127.90 is: 12,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.46 : 22,358.02 = 9,127.90 : x
  2. Step 2: Convert to fraction form
    16,201.46/22,358.02 = 9,127.90/x
  3. Step 3: Cross multiply
    16,201.46x = 22,358.02 × 9,127.90
  4. Step 4: Simplify right side
    16,201.46x = 204,081,770.76
  5. Step 5: Solve for x
    x = 204,081,770.76/16,201.46
  6. Step 6: Final answer
    x = 12,596.50

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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.