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Finding the Fourth Proportional to 25,194.78, 37,798.65 and 9,613.62

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Solution

The fourth proportional to 25,194.78, 37,798.65 and 9,613.62 is: 14,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194.78 : 37,798.65 = 9,613.62 : x
  2. Step 2: Convert to fraction form
    25,194.78/37,798.65 = 9,613.62/x
  3. Step 3: Cross multiply
    25,194.78x = 37,798.65 × 9,613.62
  4. Step 4: Simplify right side
    25,194.78x = 363,381,857.61
  5. Step 5: Solve for x
    x = 363,381,857.61/25,194.78
  6. Step 6: Final answer
    x = 14,422.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.