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Finding the Fourth Proportional to 24,827.20, 37,251.60 and 12,515.20

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Solution

The fourth proportional to 24,827.20, 37,251.60 and 12,515.20 is: 18,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.20 : 37,251.60 = 12,515.20 : x
  2. Step 2: Convert to fraction form
    24,827.20/37,251.60 = 12,515.20/x
  3. Step 3: Cross multiply
    24,827.20x = 37,251.60 × 12,515.20
  4. Step 4: Simplify right side
    24,827.20x = 466,211,224.32
  5. Step 5: Solve for x
    x = 466,211,224.32/24,827.20
  6. Step 6: Final answer
    x = 18,778.24

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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.