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Finding the Fourth Proportional to 25,106.67, 37,659.99 and 9,524.30

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Solution

The fourth proportional to 25,106.67, 37,659.99 and 9,524.30 is: 14,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,106.67 : 37,659.99 = 9,524.30 : x
  2. Step 2: Convert to fraction form
    25,106.67/37,659.99 = 9,524.30/x
  3. Step 3: Cross multiply
    25,106.67x = 37,659.99 × 9,524.30
  4. Step 4: Simplify right side
    25,106.67x = 358,684,854.46
  5. Step 5: Solve for x
    x = 358,684,854.46/25,106.67
  6. Step 6: Final answer
    x = 14,286.44

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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.