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Finding the Fourth Proportional to 24,324.78, 36,487.14 and 5,856.78

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Solution

The fourth proportional to 24,324.78, 36,487.14 and 5,856.78 is: 8,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324.78 : 36,487.14 = 5,856.78 : x
  2. Step 2: Convert to fraction form
    24,324.78/36,487.14 = 5,856.78/x
  3. Step 3: Cross multiply
    24,324.78x = 36,487.14 × 5,856.78
  4. Step 4: Simplify right side
    24,324.78x = 213,697,151.81
  5. Step 5: Solve for x
    x = 213,697,151.81/24,324.78
  6. Step 6: Final answer
    x = 8,785.16

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1.5x scale

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.