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Finding the Fourth Proportional to 25,311.45, 37,972.46 and 7,542.07

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Solution

The fourth proportional to 25,311.45, 37,972.46 and 7,542.07 is: 11,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,311.45 : 37,972.46 = 7,542.07 : x
  2. Step 2: Convert to fraction form
    25,311.45/37,972.46 = 7,542.07/x
  3. Step 3: Cross multiply
    25,311.45x = 37,972.46 × 7,542.07
  4. Step 4: Simplify right side
    25,311.45x = 286,390,951.39
  5. Step 5: Solve for x
    x = 286,390,951.39/25,311.45
  6. Step 6: Final answer
    x = 11,314.68

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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.