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Finding the Fourth Proportional to 12,686.34, 17,508.96 and 7,382.86

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Solution

The fourth proportional to 12,686.34, 17,508.96 and 7,382.86 is: 10,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.34 : 17,508.96 = 7,382.86 : x
  2. Step 2: Convert to fraction form
    12,686.34/17,508.96 = 7,382.86/x
  3. Step 3: Cross multiply
    12,686.34x = 17,508.96 × 7,382.86
  4. Step 4: Simplify right side
    12,686.34x = 129,266,255.14
  5. Step 5: Solve for x
    x = 129,266,255.14/12,686.34
  6. Step 6: Final answer
    x = 10,189.41

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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.