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Finding the Fourth Proportional to 14,474.13, 21,694.74 and 6,148.95

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Solution

The fourth proportional to 14,474.13, 21,694.74 and 6,148.95 is: 9,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.13 : 21,694.74 = 6,148.95 : x
  2. Step 2: Convert to fraction form
    14,474.13/21,694.74 = 6,148.95/x
  3. Step 3: Cross multiply
    14,474.13x = 21,694.74 × 6,148.95
  4. Step 4: Simplify right side
    14,474.13x = 133,399,767.11
  5. Step 5: Solve for x
    x = 133,399,767.11/14,474.13
  6. Step 6: Final answer
    x = 9,216.43

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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.