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Finding the Fourth Proportional to 29,976.74, 41,367.68 and 16,548

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Solution

The fourth proportional to 29,976.74, 41,367.68 and 16,548 is: 22,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976.74 : 41,367.68 = 16,548 : x
  2. Step 2: Convert to fraction form
    29,976.74/41,367.68 = 16,548/x
  3. Step 3: Cross multiply
    29,976.74x = 41,367.68 × 16,548
  4. Step 4: Simplify right side
    29,976.74x = 684,552,368.64
  5. Step 5: Solve for x
    x = 684,552,368.64/29,976.74
  6. Step 6: Final answer
    x = 22,836.12

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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.