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Finding the Fourth Proportional to 13,562.64, 20,345.85 and 6,168.96

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Solution

The fourth proportional to 13,562.64, 20,345.85 and 6,168.96 is: 9,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.64 : 20,345.85 = 6,168.96 : x
  2. Step 2: Convert to fraction form
    13,562.64/20,345.85 = 6,168.96/x
  3. Step 3: Cross multiply
    13,562.64x = 20,345.85 × 6,168.96
  4. Step 4: Simplify right side
    13,562.64x = 125,512,734.82
  5. Step 5: Solve for x
    x = 125,512,734.82/13,562.64
  6. Step 6: Final answer
    x = 9,254.30

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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.