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Finding the Fourth Proportional to 25,134.40, 37,700.40 and 8,492.80

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Solution

The fourth proportional to 25,134.40, 37,700.40 and 8,492.80 is: 12,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134.40 : 37,700.40 = 8,492.80 : x
  2. Step 2: Convert to fraction form
    25,134.40/37,700.40 = 8,492.80/x
  3. Step 3: Cross multiply
    25,134.40x = 37,700.40 × 8,492.80
  4. Step 4: Simplify right side
    25,134.40x = 320,181,957.12
  5. Step 5: Solve for x
    x = 320,181,957.12/25,134.40
  6. Step 6: Final answer
    x = 12,738.79

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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.