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Finding the Fourth Proportional to 12,842.98, 17,725.35 and 7,808.78

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Solution

The fourth proportional to 12,842.98, 17,725.35 and 7,808.78 is: 10,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.98 : 17,725.35 = 7,808.78 : x
  2. Step 2: Convert to fraction form
    12,842.98/17,725.35 = 7,808.78/x
  3. Step 3: Cross multiply
    12,842.98x = 17,725.35 × 7,808.78
  4. Step 4: Simplify right side
    12,842.98x = 138,413,358.57
  5. Step 5: Solve for x
    x = 138,413,358.57/12,842.98
  6. Step 6: Final answer
    x = 10,777.36

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