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Finding the Fourth Proportional to 24,364.11, 36,546.42 and 8,569.58

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Solution

The fourth proportional to 24,364.11, 36,546.42 and 8,569.58 is: 12,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364.11 : 36,546.42 = 8,569.58 : x
  2. Step 2: Convert to fraction form
    24,364.11/36,546.42 = 8,569.58/x
  3. Step 3: Cross multiply
    24,364.11x = 36,546.42 × 8,569.58
  4. Step 4: Simplify right side
    24,364.11x = 313,187,287.17
  5. Step 5: Solve for x
    x = 313,187,287.17/24,364.11
  6. Step 6: Final answer
    x = 12,854.45

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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.