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Finding the Fourth Proportional to 21,722, 29,976.63 and 12,290.36

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Solution

The fourth proportional to 21,722, 29,976.63 and 12,290.36 is: 16,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722 : 29,976.63 = 12,290.36 : x
  2. Step 2: Convert to fraction form
    21,722/29,976.63 = 12,290.36/x
  3. Step 3: Cross multiply
    21,722x = 29,976.63 × 12,290.36
  4. Step 4: Simplify right side
    21,722x = 368,423,574.29
  5. Step 5: Solve for x
    x = 368,423,574.29/21,722
  6. Step 6: Final answer
    x = 16,960.85

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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.