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Finding the Fourth Proportional to 24,857.60, 37,257.60 and 10,059.20

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Solution

The fourth proportional to 24,857.60, 37,257.60 and 10,059.20 is: 15,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.60 : 37,257.60 = 10,059.20 : x
  2. Step 2: Convert to fraction form
    24,857.60/37,257.60 = 10,059.20/x
  3. Step 3: Cross multiply
    24,857.60x = 37,257.60 × 10,059.20
  4. Step 4: Simplify right side
    24,857.60x = 374,781,649.92
  5. Step 5: Solve for x
    x = 374,781,649.92/24,857.60
  6. Step 6: Final answer
    x = 15,077.15

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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.