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Finding the Fourth Proportional to 13,543.12, 20,311.04 and 4,776.88

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Solution

The fourth proportional to 13,543.12, 20,311.04 and 4,776.88 is: 7,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.12 : 20,311.04 = 4,776.88 : x
  2. Step 2: Convert to fraction form
    13,543.12/20,311.04 = 4,776.88/x
  3. Step 3: Cross multiply
    13,543.12x = 20,311.04 × 4,776.88
  4. Step 4: Simplify right side
    13,543.12x = 97,023,400.76
  5. Step 5: Solve for x
    x = 97,023,400.76/13,543.12
  6. Step 6: Final answer
    x = 7,164.04

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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.