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Finding the Fourth Proportional to 13,493.39, 20,235.21 and 5,702.81

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Solution

The fourth proportional to 13,493.39, 20,235.21 and 5,702.81 is: 8,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.39 : 20,235.21 = 5,702.81 : x
  2. Step 2: Convert to fraction form
    13,493.39/20,235.21 = 5,702.81/x
  3. Step 3: Cross multiply
    13,493.39x = 20,235.21 × 5,702.81
  4. Step 4: Simplify right side
    13,493.39x = 115,397,456.76
  5. Step 5: Solve for x
    x = 115,397,456.76/13,493.39
  6. Step 6: Final answer
    x = 8,552.15

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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.