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Finding the Fourth Proportional to 12,534.18, 17,305.12 and 7,825.38

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Solution

The fourth proportional to 12,534.18, 17,305.12 and 7,825.38 is: 10,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.18 : 17,305.12 = 7,825.38 : x
  2. Step 2: Convert to fraction form
    12,534.18/17,305.12 = 7,825.38/x
  3. Step 3: Cross multiply
    12,534.18x = 17,305.12 × 7,825.38
  4. Step 4: Simplify right side
    12,534.18x = 135,419,139.95
  5. Step 5: Solve for x
    x = 135,419,139.95/12,534.18
  6. Step 6: Final answer
    x = 10,803.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.