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Finding the Fourth Proportional to 13,536.69, 18,680.28 and 7,568.91

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Solution

The fourth proportional to 13,536.69, 18,680.28 and 7,568.91 is: 10,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.69 : 18,680.28 = 7,568.91 : x
  2. Step 2: Convert to fraction form
    13,536.69/18,680.28 = 7,568.91/x
  3. Step 3: Cross multiply
    13,536.69x = 18,680.28 × 7,568.91
  4. Step 4: Simplify right side
    13,536.69x = 141,389,358.09
  5. Step 5: Solve for x
    x = 141,389,358.09/13,536.69
  6. Step 6: Final answer
    x = 10,444.90

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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.