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Finding the Fourth Proportional to 12,712.40, 19,062.84 and 8,265.68

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Solution

The fourth proportional to 12,712.40, 19,062.84 and 8,265.68 is: 12,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.40 : 19,062.84 = 8,265.68 : x
  2. Step 2: Convert to fraction form
    12,712.40/19,062.84 = 8,265.68/x
  3. Step 3: Cross multiply
    12,712.40x = 19,062.84 × 8,265.68
  4. Step 4: Simplify right side
    12,712.40x = 157,567,335.33
  5. Step 5: Solve for x
    x = 157,567,335.33/12,712.40
  6. Step 6: Final answer
    x = 12,394.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.