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Finding the Fourth Proportional to 24,364.74, 36,549 and 7,725.72

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Solution

The fourth proportional to 24,364.74, 36,549 and 7,725.72 is: 11,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364.74 : 36,549 = 7,725.72 : x
  2. Step 2: Convert to fraction form
    24,364.74/36,549 = 7,725.72/x
  3. Step 3: Cross multiply
    24,364.74x = 36,549 × 7,725.72
  4. Step 4: Simplify right side
    24,364.74x = 282,367,340.28
  5. Step 5: Solve for x
    x = 282,367,340.28/24,364.74
  6. Step 6: Final answer
    x = 11,589.18

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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.