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Finding the Fourth Proportional to 24,547.52, 36,834.48 and 9,756.56

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Solution

The fourth proportional to 24,547.52, 36,834.48 and 9,756.56 is: 14,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.52 : 36,834.48 = 9,756.56 : x
  2. Step 2: Convert to fraction form
    24,547.52/36,834.48 = 9,756.56/x
  3. Step 3: Cross multiply
    24,547.52x = 36,834.48 × 9,756.56
  4. Step 4: Simplify right side
    24,547.52x = 359,377,906.28
  5. Step 5: Solve for x
    x = 359,377,906.28/24,547.52
  6. Step 6: Final answer
    x = 14,640.09

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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.