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Finding the Fourth Proportional to 26,232.40, 39,348.52 and 8,222

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Solution

The fourth proportional to 26,232.40, 39,348.52 and 8,222 is: 12,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,232.40 : 39,348.52 = 8,222 : x
  2. Step 2: Convert to fraction form
    26,232.40/39,348.52 = 8,222/x
  3. Step 3: Cross multiply
    26,232.40x = 39,348.52 × 8,222
  4. Step 4: Simplify right side
    26,232.40x = 323,523,531.44
  5. Step 5: Solve for x
    x = 323,523,531.44/26,232.40
  6. Step 6: Final answer
    x = 12,332.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.