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Finding the Fourth Proportional to 13,493.94, 20,243.08 and 5,702.82

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Solution

The fourth proportional to 13,493.94, 20,243.08 and 5,702.82 is: 8,555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.94 : 20,243.08 = 5,702.82 : x
  2. Step 2: Convert to fraction form
    13,493.94/20,243.08 = 5,702.82/x
  3. Step 3: Cross multiply
    13,493.94x = 20,243.08 × 5,702.82
  4. Step 4: Simplify right side
    13,493.94x = 115,442,641.49
  5. Step 5: Solve for x
    x = 115,442,641.49/13,493.94
  6. Step 6: Final answer
    x = 8,555.15

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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.