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Finding the Fourth Proportional to 13,685.13, 20,527.68 and 3,823.17

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Solution

The fourth proportional to 13,685.13, 20,527.68 and 3,823.17 is: 5,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.13 : 20,527.68 = 3,823.17 : x
  2. Step 2: Convert to fraction form
    13,685.13/20,527.68 = 3,823.17/x
  3. Step 3: Cross multiply
    13,685.13x = 20,527.68 × 3,823.17
  4. Step 4: Simplify right side
    13,685.13x = 78,480,810.35
  5. Step 5: Solve for x
    x = 78,480,810.35/13,685.13
  6. Step 6: Final answer
    x = 5,734.75

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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.