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Finding the Fourth Proportional to 25,200.40, 37,793.84 and 7,665.52

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Solution

The fourth proportional to 25,200.40, 37,793.84 and 7,665.52 is: 11,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200.40 : 37,793.84 = 7,665.52 : x
  2. Step 2: Convert to fraction form
    25,200.40/37,793.84 = 7,665.52/x
  3. Step 3: Cross multiply
    25,200.40x = 37,793.84 × 7,665.52
  4. Step 4: Simplify right side
    25,200.40x = 289,709,436.40
  5. Step 5: Solve for x
    x = 289,709,436.40/25,200.40
  6. Step 6: Final answer
    x = 11,496.22

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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.