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Finding the Fourth Proportional to 25,797.17, 38,695.80 and 7,077.47

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Solution

The fourth proportional to 25,797.17, 38,695.80 and 7,077.47 is: 10,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.17 : 38,695.80 = 7,077.47 : x
  2. Step 2: Convert to fraction form
    25,797.17/38,695.80 = 7,077.47/x
  3. Step 3: Cross multiply
    25,797.17x = 38,695.80 × 7,077.47
  4. Step 4: Simplify right side
    25,797.17x = 273,868,170.15
  5. Step 5: Solve for x
    x = 273,868,170.15/25,797.17
  6. Step 6: Final answer
    x = 10,616.21

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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.