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Finding the Fourth Proportional to 12,427.86, 17,152.92 and 7,126.26

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Solution

The fourth proportional to 12,427.86, 17,152.92 and 7,126.26 is: 9,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.86 : 17,152.92 = 7,126.26 : x
  2. Step 2: Convert to fraction form
    12,427.86/17,152.92 = 7,126.26/x
  3. Step 3: Cross multiply
    12,427.86x = 17,152.92 × 7,126.26
  4. Step 4: Simplify right side
    12,427.86x = 122,236,167.68
  5. Step 5: Solve for x
    x = 122,236,167.68/12,427.86
  6. Step 6: Final answer
    x = 9,835.66

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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.