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Finding the Fourth Proportional to 25,340.24, 38,011.92 and 9,757.92

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Solution

The fourth proportional to 25,340.24, 38,011.92 and 9,757.92 is: 14,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,340.24 : 38,011.92 = 9,757.92 : x
  2. Step 2: Convert to fraction form
    25,340.24/38,011.92 = 9,757.92/x
  3. Step 3: Cross multiply
    25,340.24x = 38,011.92 × 9,757.92
  4. Step 4: Simplify right side
    25,340.24x = 370,917,274.41
  5. Step 5: Solve for x
    x = 370,917,274.41/25,340.24
  6. Step 6: Final answer
    x = 14,637.48

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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.