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Finding the Fourth Proportional to 13,759.65, 20,632.55 and 8,143.07

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Solution

The fourth proportional to 13,759.65, 20,632.55 and 8,143.07 is: 12,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.65 : 20,632.55 = 8,143.07 : x
  2. Step 2: Convert to fraction form
    13,759.65/20,632.55 = 8,143.07/x
  3. Step 3: Cross multiply
    13,759.65x = 20,632.55 × 8,143.07
  4. Step 4: Simplify right side
    13,759.65x = 168,012,356.04
  5. Step 5: Solve for x
    x = 168,012,356.04/13,759.65
  6. Step 6: Final answer
    x = 12,210.51

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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.