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Finding the Fourth Proportional to 24,209.67, 36,321.36 and 7,569.91

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Solution

The fourth proportional to 24,209.67, 36,321.36 and 7,569.91 is: 11,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.67 : 36,321.36 = 7,569.91 : x
  2. Step 2: Convert to fraction form
    24,209.67/36,321.36 = 7,569.91/x
  3. Step 3: Cross multiply
    24,209.67x = 36,321.36 × 7,569.91
  4. Step 4: Simplify right side
    24,209.67x = 274,949,426.28
  5. Step 5: Solve for x
    x = 274,949,426.28/24,209.67
  6. Step 6: Final answer
    x = 11,357.01

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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.