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Finding the Fourth Proportional to 12,296.24, 16,963.80 and 8,572.40

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Solution

The fourth proportional to 12,296.24, 16,963.80 and 8,572.40 is: 11,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.24 : 16,963.80 = 8,572.40 : x
  2. Step 2: Convert to fraction form
    12,296.24/16,963.80 = 8,572.40/x
  3. Step 3: Cross multiply
    12,296.24x = 16,963.80 × 8,572.40
  4. Step 4: Simplify right side
    12,296.24x = 145,420,479.12
  5. Step 5: Solve for x
    x = 145,420,479.12/12,296.24
  6. Step 6: Final answer
    x = 11,826.42

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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.