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Finding the Fourth Proportional to 24,776.32, 37,138.50 and 8,132.08

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Solution

The fourth proportional to 24,776.32, 37,138.50 and 8,132.08 is: 12,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776.32 : 37,138.50 = 8,132.08 : x
  2. Step 2: Convert to fraction form
    24,776.32/37,138.50 = 8,132.08/x
  3. Step 3: Cross multiply
    24,776.32x = 37,138.50 × 8,132.08
  4. Step 4: Simplify right side
    24,776.32x = 302,013,253.08
  5. Step 5: Solve for x
    x = 302,013,253.08/24,776.32
  6. Step 6: Final answer
    x = 12,189.59

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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.