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Finding the Fourth Proportional to 13,536.41, 18,677.96 and 7,568.12

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Solution

The fourth proportional to 13,536.41, 18,677.96 and 7,568.12 is: 10,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.41 : 18,677.96 = 7,568.12 : x
  2. Step 2: Convert to fraction form
    13,536.41/18,677.96 = 7,568.12/x
  3. Step 3: Cross multiply
    13,536.41x = 18,677.96 × 7,568.12
  4. Step 4: Simplify right side
    13,536.41x = 141,357,051.49
  5. Step 5: Solve for x
    x = 141,357,051.49/13,536.41
  6. Step 6: Final answer
    x = 10,442.73

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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.