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Finding the Fourth Proportional to 22,302.88, 30,778.40 and 12,230.72

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Solution

The fourth proportional to 22,302.88, 30,778.40 and 12,230.72 is: 16,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.88 : 30,778.40 = 12,230.72 : x
  2. Step 2: Convert to fraction form
    22,302.88/30,778.40 = 12,230.72/x
  3. Step 3: Cross multiply
    22,302.88x = 30,778.40 × 12,230.72
  4. Step 4: Simplify right side
    22,302.88x = 376,442,028.12
  5. Step 5: Solve for x
    x = 376,442,028.12/22,302.88
  6. Step 6: Final answer
    x = 16,878.63

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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.