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Finding the Fourth Proportional to 12,154.40, 18,215.80 and 5,486

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Solution

The fourth proportional to 12,154.40, 18,215.80 and 5,486 is: 8,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.40 : 18,215.80 = 5,486 : x
  2. Step 2: Convert to fraction form
    12,154.40/18,215.80 = 5,486/x
  3. Step 3: Cross multiply
    12,154.40x = 18,215.80 × 5,486
  4. Step 4: Simplify right side
    12,154.40x = 99,931,878.80
  5. Step 5: Solve for x
    x = 99,931,878.80/12,154.40
  6. Step 6: Final answer
    x = 8,221.87

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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.