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Finding the Fourth Proportional to 13,913.30, 20,842.10 and 8,363.62

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Solution

The fourth proportional to 13,913.30, 20,842.10 and 8,363.62 is: 12,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.30 : 20,842.10 = 8,363.62 : x
  2. Step 2: Convert to fraction form
    13,913.30/20,842.10 = 8,363.62/x
  3. Step 3: Cross multiply
    13,913.30x = 20,842.10 × 8,363.62
  4. Step 4: Simplify right side
    13,913.30x = 174,315,404.40
  5. Step 5: Solve for x
    x = 174,315,404.40/13,913.30
  6. Step 6: Final answer
    x = 12,528.69

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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.