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Finding the Fourth Proportional to 12,542.22, 17,302.86 and 7,818.30

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Solution

The fourth proportional to 12,542.22, 17,302.86 and 7,818.30 is: 10,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.22 : 17,302.86 = 7,818.30 : x
  2. Step 2: Convert to fraction form
    12,542.22/17,302.86 = 7,818.30/x
  3. Step 3: Cross multiply
    12,542.22x = 17,302.86 × 7,818.30
  4. Step 4: Simplify right side
    12,542.22x = 135,278,950.34
  5. Step 5: Solve for x
    x = 135,278,950.34/12,542.22
  6. Step 6: Final answer
    x = 10,785.89

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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.