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Finding the Fourth Proportional to 16,781.40, 25,164.90 and 8,458.20

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Solution

The fourth proportional to 16,781.40, 25,164.90 and 8,458.20 is: 12,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.40 : 25,164.90 = 8,458.20 : x
  2. Step 2: Convert to fraction form
    16,781.40/25,164.90 = 8,458.20/x
  3. Step 3: Cross multiply
    16,781.40x = 25,164.90 × 8,458.20
  4. Step 4: Simplify right side
    16,781.40x = 212,849,757.18
  5. Step 5: Solve for x
    x = 212,849,757.18/16,781.40
  6. Step 6: Final answer
    x = 12,683.67

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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.