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Finding the Fourth Proportional to 13,809.29, 20,702.68 and 6,418.40

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Solution

The fourth proportional to 13,809.29, 20,702.68 and 6,418.40 is: 9,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.29 : 20,702.68 = 6,418.40 : x
  2. Step 2: Convert to fraction form
    13,809.29/20,702.68 = 6,418.40/x
  3. Step 3: Cross multiply
    13,809.29x = 20,702.68 × 6,418.40
  4. Step 4: Simplify right side
    13,809.29x = 132,877,961.75
  5. Step 5: Solve for x
    x = 132,877,961.75/13,809.29
  6. Step 6: Final answer
    x = 9,622.36

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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.