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Finding the Fourth Proportional to 13,700.57, 20,543.45 and 4,813.61

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Solution

The fourth proportional to 13,700.57, 20,543.45 and 4,813.61 is: 7,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.57 : 20,543.45 = 4,813.61 : x
  2. Step 2: Convert to fraction form
    13,700.57/20,543.45 = 4,813.61/x
  3. Step 3: Cross multiply
    13,700.57x = 20,543.45 × 4,813.61
  4. Step 4: Simplify right side
    13,700.57x = 98,888,029.57
  5. Step 5: Solve for x
    x = 98,888,029.57/13,700.57
  6. Step 6: Final answer
    x = 7,217.81

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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.