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Finding the Fourth Proportional to 25,171.59, 37,775.48 and 9,378.80

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Solution

The fourth proportional to 25,171.59, 37,775.48 and 9,378.80 is: 14,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.59 : 37,775.48 = 9,378.80 : x
  2. Step 2: Convert to fraction form
    25,171.59/37,775.48 = 9,378.80/x
  3. Step 3: Cross multiply
    25,171.59x = 37,775.48 × 9,378.80
  4. Step 4: Simplify right side
    25,171.59x = 354,288,671.82
  5. Step 5: Solve for x
    x = 354,288,671.82/25,171.59
  6. Step 6: Final answer
    x = 14,074.94

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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.