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Finding the Fourth Proportional to 22,302.59, 30,777.62 and 12,231.11

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Solution

The fourth proportional to 22,302.59, 30,777.62 and 12,231.11 is: 16,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.59 : 30,777.62 = 12,231.11 : x
  2. Step 2: Convert to fraction form
    22,302.59/30,777.62 = 12,231.11/x
  3. Step 3: Cross multiply
    22,302.59x = 30,777.62 × 12,231.11
  4. Step 4: Simplify right side
    22,302.59x = 376,444,240.71
  5. Step 5: Solve for x
    x = 376,444,240.71/22,302.59
  6. Step 6: Final answer
    x = 16,878.95

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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.