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Finding the Fourth Proportional to 13,532.25, 18,674.58 and 7,867.11

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Solution

The fourth proportional to 13,532.25, 18,674.58 and 7,867.11 is: 10,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.25 : 18,674.58 = 7,867.11 : x
  2. Step 2: Convert to fraction form
    13,532.25/18,674.58 = 7,867.11/x
  3. Step 3: Cross multiply
    13,532.25x = 18,674.58 × 7,867.11
  4. Step 4: Simplify right side
    13,532.25x = 146,914,975.06
  5. Step 5: Solve for x
    x = 146,914,975.06/13,532.25
  6. Step 6: Final answer
    x = 10,856.66

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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.