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Finding the Fourth Proportional to 16,251.57, 22,427.01 and 9,177.84

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Solution

The fourth proportional to 16,251.57, 22,427.01 and 9,177.84 is: 12,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251.57 : 22,427.01 = 9,177.84 : x
  2. Step 2: Convert to fraction form
    16,251.57/22,427.01 = 9,177.84/x
  3. Step 3: Cross multiply
    16,251.57x = 22,427.01 × 9,177.84
  4. Step 4: Simplify right side
    16,251.57x = 205,831,509.46
  5. Step 5: Solve for x
    x = 205,831,509.46/16,251.57
  6. Step 6: Final answer
    x = 12,665.33

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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.