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Finding the Fourth Proportional to 20,709.70, 28,572.10 and 13,543.81

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Solution

The fourth proportional to 20,709.70, 28,572.10 and 13,543.81 is: 18,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.70 : 28,572.10 = 13,543.81 : x
  2. Step 2: Convert to fraction form
    20,709.70/28,572.10 = 13,543.81/x
  3. Step 3: Cross multiply
    20,709.70x = 28,572.10 × 13,543.81
  4. Step 4: Simplify right side
    20,709.70x = 386,975,093.70
  5. Step 5: Solve for x
    x = 386,975,093.70/20,709.70
  6. Step 6: Final answer
    x = 18,685.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.