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Finding the Fourth Proportional to 13,777.32, 20,653.85 and 5,463.18

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Solution

The fourth proportional to 13,777.32, 20,653.85 and 5,463.18 is: 8,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.32 : 20,653.85 = 5,463.18 : x
  2. Step 2: Convert to fraction form
    13,777.32/20,653.85 = 5,463.18/x
  3. Step 3: Cross multiply
    13,777.32x = 20,653.85 × 5,463.18
  4. Step 4: Simplify right side
    13,777.32x = 112,835,672.93
  5. Step 5: Solve for x
    x = 112,835,672.93/13,777.32
  6. Step 6: Final answer
    x = 8,189.96

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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.