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Finding the Fourth Proportional to 25,242.84, 37,863.18 and 9,659.52

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Solution

The fourth proportional to 25,242.84, 37,863.18 and 9,659.52 is: 14,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,242.84 : 37,863.18 = 9,659.52 : x
  2. Step 2: Convert to fraction form
    25,242.84/37,863.18 = 9,659.52/x
  3. Step 3: Cross multiply
    25,242.84x = 37,863.18 × 9,659.52
  4. Step 4: Simplify right side
    25,242.84x = 365,740,144.47
  5. Step 5: Solve for x
    x = 365,740,144.47/25,242.84
  6. Step 6: Final answer
    x = 14,488.87

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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.