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Finding the Fourth Proportional to 24,491.79, 36,734.00 and 7,850.07

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Solution

The fourth proportional to 24,491.79, 36,734.00 and 7,850.07 is: 11,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491.79 : 36,734.00 = 7,850.07 : x
  2. Step 2: Convert to fraction form
    24,491.79/36,734.00 = 7,850.07/x
  3. Step 3: Cross multiply
    24,491.79x = 36,734.00 × 7,850.07
  4. Step 4: Simplify right side
    24,491.79x = 288,364,432.13
  5. Step 5: Solve for x
    x = 288,364,432.13/24,491.79
  6. Step 6: Final answer
    x = 11,773.92

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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.