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Finding the Fourth Proportional to 13,657.16, 20,493.69 and 5,759.18

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Solution

The fourth proportional to 13,657.16, 20,493.69 and 5,759.18 is: 8,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.16 : 20,493.69 = 5,759.18 : x
  2. Step 2: Convert to fraction form
    13,657.16/20,493.69 = 5,759.18/x
  3. Step 3: Cross multiply
    13,657.16x = 20,493.69 × 5,759.18
  4. Step 4: Simplify right side
    13,657.16x = 118,026,849.57
  5. Step 5: Solve for x
    x = 118,026,849.57/13,657.16
  6. Step 6: Final answer
    x = 8,642.12

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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.