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Finding the Fourth Proportional to 24,955.20, 37,438.20 and 7,426.80

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Solution

The fourth proportional to 24,955.20, 37,438.20 and 7,426.80 is: 11,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,955.20 : 37,438.20 = 7,426.80 : x
  2. Step 2: Convert to fraction form
    24,955.20/37,438.20 = 7,426.80/x
  3. Step 3: Cross multiply
    24,955.20x = 37,438.20 × 7,426.80
  4. Step 4: Simplify right side
    24,955.20x = 278,046,023.76
  5. Step 5: Solve for x
    x = 278,046,023.76/24,955.20
  6. Step 6: Final answer
    x = 11,141.81

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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.