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Finding the Fourth Proportional to 12,266.24, 16,922.40 and 8,542.40

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Solution

The fourth proportional to 12,266.24, 16,922.40 and 8,542.40 is: 11,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.24 : 16,922.40 = 8,542.40 : x
  2. Step 2: Convert to fraction form
    12,266.24/16,922.40 = 8,542.40/x
  3. Step 3: Cross multiply
    12,266.24x = 16,922.40 × 8,542.40
  4. Step 4: Simplify right side
    12,266.24x = 144,557,909.76
  5. Step 5: Solve for x
    x = 144,557,909.76/12,266.24
  6. Step 6: Final answer
    x = 11,785.02

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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.