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Finding the Fourth Proportional to 13,981, 20,967.02 and 4,618.84

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Solution

The fourth proportional to 13,981, 20,967.02 and 4,618.84 is: 6,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981 : 20,967.02 = 4,618.84 : x
  2. Step 2: Convert to fraction form
    13,981/20,967.02 = 4,618.84/x
  3. Step 3: Cross multiply
    13,981x = 20,967.02 × 4,618.84
  4. Step 4: Simplify right side
    13,981x = 96,843,310.66
  5. Step 5: Solve for x
    x = 96,843,310.66/13,981
  6. Step 6: Final answer
    x = 6,926.78

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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.