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Finding the Fourth Proportional to 12,780.38, 17,635.69 and 9,425.00

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Solution

The fourth proportional to 12,780.38, 17,635.69 and 9,425.00 is: 13,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.38 : 17,635.69 = 9,425.00 : x
  2. Step 2: Convert to fraction form
    12,780.38/17,635.69 = 9,425.00/x
  3. Step 3: Cross multiply
    12,780.38x = 17,635.69 × 9,425.00
  4. Step 4: Simplify right side
    12,780.38x = 166,216,398.78
  5. Step 5: Solve for x
    x = 166,216,398.78/12,780.38
  6. Step 6: Final answer
    x = 13,005.59

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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.