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Finding the Fourth Proportional to 13,709.92, 20,543.33 and 10,597.55

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Solution

The fourth proportional to 13,709.92, 20,543.33 and 10,597.55 is: 15,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.92 : 20,543.33 = 10,597.55 : x
  2. Step 2: Convert to fraction form
    13,709.92/20,543.33 = 10,597.55/x
  3. Step 3: Cross multiply
    13,709.92x = 20,543.33 × 10,597.55
  4. Step 4: Simplify right side
    13,709.92x = 217,708,864.12
  5. Step 5: Solve for x
    x = 217,708,864.12/13,709.92
  6. Step 6: Final answer
    x = 15,879.66

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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.