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Finding the Fourth Proportional to 13,705.34, 20,545.71 and 5,391.33

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Solution

The fourth proportional to 13,705.34, 20,545.71 and 5,391.33 is: 8,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.34 : 20,545.71 = 5,391.33 : x
  2. Step 2: Convert to fraction form
    13,705.34/20,545.71 = 5,391.33/x
  3. Step 3: Cross multiply
    13,705.34x = 20,545.71 × 5,391.33
  4. Step 4: Simplify right side
    13,705.34x = 110,768,702.69
  5. Step 5: Solve for x
    x = 110,768,702.69/13,705.34
  6. Step 6: Final answer
    x = 8,082.16

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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.