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Finding the Fourth Proportional to 25,881.63, 38,822.46 and 8,351.49

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Solution

The fourth proportional to 25,881.63, 38,822.46 and 8,351.49 is: 12,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.63 : 38,822.46 = 8,351.49 : x
  2. Step 2: Convert to fraction form
    25,881.63/38,822.46 = 8,351.49/x
  3. Step 3: Cross multiply
    25,881.63x = 38,822.46 × 8,351.49
  4. Step 4: Simplify right side
    25,881.63x = 324,225,386.47
  5. Step 5: Solve for x
    x = 324,225,386.47/25,881.63
  6. Step 6: Final answer
    x = 12,527.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.