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Finding the Fourth Proportional to 25,564.52, 38,346.80 and 8,034.80

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Solution

The fourth proportional to 25,564.52, 38,346.80 and 8,034.80 is: 12,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564.52 : 38,346.80 = 8,034.80 : x
  2. Step 2: Convert to fraction form
    25,564.52/38,346.80 = 8,034.80/x
  3. Step 3: Cross multiply
    25,564.52x = 38,346.80 × 8,034.80
  4. Step 4: Simplify right side
    25,564.52x = 308,108,868.64
  5. Step 5: Solve for x
    x = 308,108,868.64/25,564.52
  6. Step 6: Final answer
    x = 12,052.21

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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.