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Finding the Fourth Proportional to 13,536.88, 18,680.83 and 7,568.53

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Solution

The fourth proportional to 13,536.88, 18,680.83 and 7,568.53 is: 10,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.88 : 18,680.83 = 7,568.53 : x
  2. Step 2: Convert to fraction form
    13,536.88/18,680.83 = 7,568.53/x
  3. Step 3: Cross multiply
    13,536.88x = 18,680.83 × 7,568.53
  4. Step 4: Simplify right side
    13,536.88x = 141,386,422.28
  5. Step 5: Solve for x
    x = 141,386,422.28/13,536.88
  6. Step 6: Final answer
    x = 10,444.54

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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.