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Finding the Fourth Proportional to 13,543.52, 20,315.68 and 3,683.00

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Solution

The fourth proportional to 13,543.52, 20,315.68 and 3,683.00 is: 5,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.52 : 20,315.68 = 3,683.00 : x
  2. Step 2: Convert to fraction form
    13,543.52/20,315.68 = 3,683.00/x
  3. Step 3: Cross multiply
    13,543.52x = 20,315.68 × 3,683.00
  4. Step 4: Simplify right side
    13,543.52x = 74,822,691.02
  5. Step 5: Solve for x
    x = 74,822,691.02/13,543.52
  6. Step 6: Final answer
    x = 5,524.61

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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.