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Finding the Fourth Proportional to 13,536.70, 18,680.69 and 7,568.48

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Solution

The fourth proportional to 13,536.70, 18,680.69 and 7,568.48 is: 10,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.70 : 18,680.69 = 7,568.48 : x
  2. Step 2: Convert to fraction form
    13,536.70/18,680.69 = 7,568.48/x
  3. Step 3: Cross multiply
    13,536.70x = 18,680.69 × 7,568.48
  4. Step 4: Simplify right side
    13,536.70x = 141,384,428.65
  5. Step 5: Solve for x
    x = 141,384,428.65/13,536.70
  6. Step 6: Final answer
    x = 10,444.53

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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.