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Finding the Fourth Proportional to 13,444.74, 20,169.28 and 5,655.78

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Solution

The fourth proportional to 13,444.74, 20,169.28 and 5,655.78 is: 8,484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.74 : 20,169.28 = 5,655.78 : x
  2. Step 2: Convert to fraction form
    13,444.74/20,169.28 = 5,655.78/x
  3. Step 3: Cross multiply
    13,444.74x = 20,169.28 × 5,655.78
  4. Step 4: Simplify right side
    13,444.74x = 114,073,010.44
  5. Step 5: Solve for x
    x = 114,073,010.44/13,444.74
  6. Step 6: Final answer
    x = 8,484.58

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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.