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Finding the Fourth Proportional to 25,137.60, 37,700.18 and 8,497.28

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Solution

The fourth proportional to 25,137.60, 37,700.18 and 8,497.28 is: 12,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,137.60 : 37,700.18 = 8,497.28 : x
  2. Step 2: Convert to fraction form
    25,137.60/37,700.18 = 8,497.28/x
  3. Step 3: Cross multiply
    25,137.60x = 37,700.18 × 8,497.28
  4. Step 4: Simplify right side
    25,137.60x = 320,348,754.52
  5. Step 5: Solve for x
    x = 320,348,754.52/25,137.60
  6. Step 6: Final answer
    x = 12,743.81

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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.