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Finding the Fourth Proportional to 13,536.58, 18,680.55 and 7,874.68

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Solution

The fourth proportional to 13,536.58, 18,680.55 and 7,874.68 is: 10,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.58 : 18,680.55 = 7,874.68 : x
  2. Step 2: Convert to fraction form
    13,536.58/18,680.55 = 7,874.68/x
  3. Step 3: Cross multiply
    13,536.58x = 18,680.55 × 7,874.68
  4. Step 4: Simplify right side
    13,536.58x = 147,103,353.47
  5. Step 5: Solve for x
    x = 147,103,353.47/13,536.58
  6. Step 6: Final answer
    x = 10,867.10

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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.