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Finding the Fourth Proportional to 16,881.60, 25,322.40 and 8,114.40

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Solution

The fourth proportional to 16,881.60, 25,322.40 and 8,114.40 is: 12,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.60 : 25,322.40 = 8,114.40 : x
  2. Step 2: Convert to fraction form
    16,881.60/25,322.40 = 8,114.40/x
  3. Step 3: Cross multiply
    16,881.60x = 25,322.40 × 8,114.40
  4. Step 4: Simplify right side
    16,881.60x = 205,476,082.56
  5. Step 5: Solve for x
    x = 205,476,082.56/16,881.60
  6. Step 6: Final answer
    x = 12,171.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.