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Finding the Fourth Proportional to 12,422.86, 17,144.14 and 7,117.69

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Solution

The fourth proportional to 12,422.86, 17,144.14 and 7,117.69 is: 9,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.86 : 17,144.14 = 7,117.69 : x
  2. Step 2: Convert to fraction form
    12,422.86/17,144.14 = 7,117.69/x
  3. Step 3: Cross multiply
    12,422.86x = 17,144.14 × 7,117.69
  4. Step 4: Simplify right side
    12,422.86x = 122,026,588.12
  5. Step 5: Solve for x
    x = 122,026,588.12/12,422.86
  6. Step 6: Final answer
    x = 9,822.75

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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.