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Finding the Fourth Proportional to 21,734.64, 29,993.76 and 12,304.08

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Solution

The fourth proportional to 21,734.64, 29,993.76 and 12,304.08 is: 16,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734.64 : 29,993.76 = 12,304.08 : x
  2. Step 2: Convert to fraction form
    21,734.64/29,993.76 = 12,304.08/x
  3. Step 3: Cross multiply
    21,734.64x = 29,993.76 × 12,304.08
  4. Step 4: Simplify right side
    21,734.64x = 369,045,622.54
  5. Step 5: Solve for x
    x = 369,045,622.54/21,734.64
  6. Step 6: Final answer
    x = 16,979.61

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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.