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Finding the Fourth Proportional to 25,809.30, 38,721.24 and 10,823.49

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Solution

The fourth proportional to 25,809.30, 38,721.24 and 10,823.49 is: 16,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.30 : 38,721.24 = 10,823.49 : x
  2. Step 2: Convert to fraction form
    25,809.30/38,721.24 = 10,823.49/x
  3. Step 3: Cross multiply
    25,809.30x = 38,721.24 × 10,823.49
  4. Step 4: Simplify right side
    25,809.30x = 419,098,953.93
  5. Step 5: Solve for x
    x = 419,098,953.93/25,809.30
  6. Step 6: Final answer
    x = 16,238.29

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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.