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Finding the Fourth Proportional to 12,536.98, 18,805.80 and 4,217.14

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Solution

The fourth proportional to 12,536.98, 18,805.80 and 4,217.14 is: 6,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.98 : 18,805.80 = 4,217.14 : x
  2. Step 2: Convert to fraction form
    12,536.98/18,805.80 = 4,217.14/x
  3. Step 3: Cross multiply
    12,536.98x = 18,805.80 × 4,217.14
  4. Step 4: Simplify right side
    12,536.98x = 79,306,691.41
  5. Step 5: Solve for x
    x = 79,306,691.41/12,536.98
  6. Step 6: Final answer
    x = 6,325.82

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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.