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Finding the Fourth Proportional to 13,443.76, 20,152.14 and 5,121.64

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Solution

The fourth proportional to 13,443.76, 20,152.14 and 5,121.64 is: 7,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.76 : 20,152.14 = 5,121.64 : x
  2. Step 2: Convert to fraction form
    13,443.76/20,152.14 = 5,121.64/x
  3. Step 3: Cross multiply
    13,443.76x = 20,152.14 × 5,121.64
  4. Step 4: Simplify right side
    13,443.76x = 103,212,006.31
  5. Step 5: Solve for x
    x = 103,212,006.31/13,443.76
  6. Step 6: Final answer
    x = 7,677.32

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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.