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Finding the Fourth Proportional to 13,421.80, 20,111.10 and 6,838.12

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Solution

The fourth proportional to 13,421.80, 20,111.10 and 6,838.12 is: 10,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.80 : 20,111.10 = 6,838.12 : x
  2. Step 2: Convert to fraction form
    13,421.80/20,111.10 = 6,838.12/x
  3. Step 3: Cross multiply
    13,421.80x = 20,111.10 × 6,838.12
  4. Step 4: Simplify right side
    13,421.80x = 137,522,115.13
  5. Step 5: Solve for x
    x = 137,522,115.13/13,421.80
  6. Step 6: Final answer
    x = 10,246.18

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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.