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Finding the Fourth Proportional to 24,061.17, 36,082.77 and 8,261.72

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Solution

The fourth proportional to 24,061.17, 36,082.77 and 8,261.72 is: 12,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,061.17 : 36,082.77 = 8,261.72 : x
  2. Step 2: Convert to fraction form
    24,061.17/36,082.77 = 8,261.72/x
  3. Step 3: Cross multiply
    24,061.17x = 36,082.77 × 8,261.72
  4. Step 4: Simplify right side
    24,061.17x = 298,105,742.56
  5. Step 5: Solve for x
    x = 298,105,742.56/24,061.17
  6. Step 6: Final answer
    x = 12,389.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.