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Finding the Fourth Proportional to 14,306.31, 21,454.18 and 4,943.93

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Solution

The fourth proportional to 14,306.31, 21,454.18 and 4,943.93 is: 7,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.31 : 21,454.18 = 4,943.93 : x
  2. Step 2: Convert to fraction form
    14,306.31/21,454.18 = 4,943.93/x
  3. Step 3: Cross multiply
    14,306.31x = 21,454.18 × 4,943.93
  4. Step 4: Simplify right side
    14,306.31x = 106,067,844.50
  5. Step 5: Solve for x
    x = 106,067,844.50/14,306.31
  6. Step 6: Final answer
    x = 7,414.06

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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.