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Finding the Fourth Proportional to 13,543.92, 20,307.69 and 5,636.88

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Solution

The fourth proportional to 13,543.92, 20,307.69 and 5,636.88 is: 8,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.92 : 20,307.69 = 5,636.88 : x
  2. Step 2: Convert to fraction form
    13,543.92/20,307.69 = 5,636.88/x
  3. Step 3: Cross multiply
    13,543.92x = 20,307.69 × 5,636.88
  4. Step 4: Simplify right side
    13,543.92x = 114,472,011.61
  5. Step 5: Solve for x
    x = 114,472,011.61/13,543.92
  6. Step 6: Final answer
    x = 8,451.91

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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.