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Finding the Fourth Proportional to 20,219, 27,904.68 and 12,261.20

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Solution

The fourth proportional to 20,219, 27,904.68 and 12,261.20 is: 16,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219 : 27,904.68 = 12,261.20 : x
  2. Step 2: Convert to fraction form
    20,219/27,904.68 = 12,261.20/x
  3. Step 3: Cross multiply
    20,219x = 27,904.68 × 12,261.20
  4. Step 4: Simplify right side
    20,219x = 342,144,862.42
  5. Step 5: Solve for x
    x = 342,144,862.42/20,219
  6. Step 6: Final answer
    x = 16,921.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.