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Finding the Fourth Proportional to 16,459.40, 24,672.90 and 8,140.70

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Solution

The fourth proportional to 16,459.40, 24,672.90 and 8,140.70 is: 12,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.40 : 24,672.90 = 8,140.70 : x
  2. Step 2: Convert to fraction form
    16,459.40/24,672.90 = 8,140.70/x
  3. Step 3: Cross multiply
    16,459.40x = 24,672.90 × 8,140.70
  4. Step 4: Simplify right side
    16,459.40x = 200,854,677.03
  5. Step 5: Solve for x
    x = 200,854,677.03/16,459.40
  6. Step 6: Final answer
    x = 12,203.04

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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.