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Finding the Fourth Proportional to 13,827.40, 20,741.10 and 5,063.20

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Solution

The fourth proportional to 13,827.40, 20,741.10 and 5,063.20 is: 7,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.40 : 20,741.10 = 5,063.20 : x
  2. Step 2: Convert to fraction form
    13,827.40/20,741.10 = 5,063.20/x
  3. Step 3: Cross multiply
    13,827.40x = 20,741.10 × 5,063.20
  4. Step 4: Simplify right side
    13,827.40x = 105,016,337.52
  5. Step 5: Solve for x
    x = 105,016,337.52/13,827.40
  6. Step 6: Final answer
    x = 7,594.80

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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.