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Finding the Fourth Proportional to 24,547.92, 36,834.24 and 9,785.76

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Solution

The fourth proportional to 24,547.92, 36,834.24 and 9,785.76 is: 14,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.92 : 36,834.24 = 9,785.76 : x
  2. Step 2: Convert to fraction form
    24,547.92/36,834.24 = 9,785.76/x
  3. Step 3: Cross multiply
    24,547.92x = 36,834.24 × 9,785.76
  4. Step 4: Simplify right side
    24,547.92x = 360,451,032.42
  5. Step 5: Solve for x
    x = 360,451,032.42/24,547.92
  6. Step 6: Final answer
    x = 14,683.57

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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.