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Finding the Fourth Proportional to 19,891.42, 27,449.80 and 10,938.95

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Solution

The fourth proportional to 19,891.42, 27,449.80 and 10,938.95 is: 15,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.42 : 27,449.80 = 10,938.95 : x
  2. Step 2: Convert to fraction form
    19,891.42/27,449.80 = 10,938.95/x
  3. Step 3: Cross multiply
    19,891.42x = 27,449.80 × 10,938.95
  4. Step 4: Simplify right side
    19,891.42x = 300,271,825.11
  5. Step 5: Solve for x
    x = 300,271,825.11/19,891.42
  6. Step 6: Final answer
    x = 15,095.55

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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.