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Finding the Fourth Proportional to 12,400.06, 17,111.91 and 7,685.50

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Solution

The fourth proportional to 12,400.06, 17,111.91 and 7,685.50 is: 10,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.06 : 17,111.91 = 7,685.50 : x
  2. Step 2: Convert to fraction form
    12,400.06/17,111.91 = 7,685.50/x
  3. Step 3: Cross multiply
    12,400.06x = 17,111.91 × 7,685.50
  4. Step 4: Simplify right side
    12,400.06x = 131,513,584.31
  5. Step 5: Solve for x
    x = 131,513,584.31/12,400.06
  6. Step 6: Final answer
    x = 10,605.88

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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.