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Finding the Fourth Proportional to 10,822.60, 16,232.70 and 8,871.40

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Solution

The fourth proportional to 10,822.60, 16,232.70 and 8,871.40 is: 13,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.60 : 16,232.70 = 8,871.40 : x
  2. Step 2: Convert to fraction form
    10,822.60/16,232.70 = 8,871.40/x
  3. Step 3: Cross multiply
    10,822.60x = 16,232.70 × 8,871.40
  4. Step 4: Simplify right side
    10,822.60x = 144,006,774.78
  5. Step 5: Solve for x
    x = 144,006,774.78/10,822.60
  6. Step 6: Final answer
    x = 13,306.12

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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.