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Finding the Fourth Proportional to 12,839.86, 17,717.74 and 7,460.90

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Solution

The fourth proportional to 12,839.86, 17,717.74 and 7,460.90 is: 10,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839.86 : 17,717.74 = 7,460.90 : x
  2. Step 2: Convert to fraction form
    12,839.86/17,717.74 = 7,460.90/x
  3. Step 3: Cross multiply
    12,839.86x = 17,717.74 × 7,460.90
  4. Step 4: Simplify right side
    12,839.86x = 132,190,179.13
  5. Step 5: Solve for x
    x = 132,190,179.13/12,839.86
  6. Step 6: Final answer
    x = 10,295.30

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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.