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Finding the Fourth Proportional to 24,082.65, 36,117.50 and 8,498.25

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Solution

The fourth proportional to 24,082.65, 36,117.50 and 8,498.25 is: 12,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.65 : 36,117.50 = 8,498.25 : x
  2. Step 2: Convert to fraction form
    24,082.65/36,117.50 = 8,498.25/x
  3. Step 3: Cross multiply
    24,082.65x = 36,117.50 × 8,498.25
  4. Step 4: Simplify right side
    24,082.65x = 306,935,501.88
  5. Step 5: Solve for x
    x = 306,935,501.88/24,082.65
  6. Step 6: Final answer
    x = 12,745.09

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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.