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Finding the Fourth Proportional to 13,531.76, 20,293.54 and 5,211.14

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Solution

The fourth proportional to 13,531.76, 20,293.54 and 5,211.14 is: 7,815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.76 : 20,293.54 = 5,211.14 : x
  2. Step 2: Convert to fraction form
    13,531.76/20,293.54 = 5,211.14/x
  3. Step 3: Cross multiply
    13,531.76x = 20,293.54 × 5,211.14
  4. Step 4: Simplify right side
    13,531.76x = 105,752,363.54
  5. Step 5: Solve for x
    x = 105,752,363.54/13,531.76
  6. Step 6: Final answer
    x = 7,815.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.