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Finding the Fourth Proportional to 13,688.10, 20,485.35 and 8,687.97

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Solution

The fourth proportional to 13,688.10, 20,485.35 and 8,687.97 is: 13,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.10 : 20,485.35 = 8,687.97 : x
  2. Step 2: Convert to fraction form
    13,688.10/20,485.35 = 8,687.97/x
  3. Step 3: Cross multiply
    13,688.10x = 20,485.35 × 8,687.97
  4. Step 4: Simplify right side
    13,688.10x = 177,976,106.24
  5. Step 5: Solve for x
    x = 177,976,106.24/13,688.10
  6. Step 6: Final answer
    x = 13,002.25

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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.