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Finding the Fourth Proportional to 16,422.40, 22,656 and 10,826.24

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Solution

The fourth proportional to 16,422.40, 22,656 and 10,826.24 is: 14,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.40 : 22,656 = 10,826.24 : x
  2. Step 2: Convert to fraction form
    16,422.40/22,656 = 10,826.24/x
  3. Step 3: Cross multiply
    16,422.40x = 22,656 × 10,826.24
  4. Step 4: Simplify right side
    16,422.40x = 245,279,293.44
  5. Step 5: Solve for x
    x = 245,279,293.44/16,422.40
  6. Step 6: Final answer
    x = 14,935.65

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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.