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Finding the Fourth Proportional to 24,564.57, 36,854.04 and 7,924.24

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Solution

The fourth proportional to 24,564.57, 36,854.04 and 7,924.24 is: 11,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.57 : 36,854.04 = 7,924.24 : x
  2. Step 2: Convert to fraction form
    24,564.57/36,854.04 = 7,924.24/x
  3. Step 3: Cross multiply
    24,564.57x = 36,854.04 × 7,924.24
  4. Step 4: Simplify right side
    24,564.57x = 292,040,257.93
  5. Step 5: Solve for x
    x = 292,040,257.93/24,564.57
  6. Step 6: Final answer
    x = 11,888.68

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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.