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Finding the Fourth Proportional to 13,926.18, 20,892.74 and 6,909.49

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Solution

The fourth proportional to 13,926.18, 20,892.74 and 6,909.49 is: 10,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,926.18 : 20,892.74 = 6,909.49 : x
  2. Step 2: Convert to fraction form
    13,926.18/20,892.74 = 6,909.49/x
  3. Step 3: Cross multiply
    13,926.18x = 20,892.74 × 6,909.49
  4. Step 4: Simplify right side
    13,926.18x = 144,358,169.67
  5. Step 5: Solve for x
    x = 144,358,169.67/13,926.18
  6. Step 6: Final answer
    x = 10,365.95

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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.