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Finding the Fourth Proportional to 22,992.72, 34,491.78 and 8,203.74

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Solution

The fourth proportional to 22,992.72, 34,491.78 and 8,203.74 is: 12,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.72 : 34,491.78 = 8,203.74 : x
  2. Step 2: Convert to fraction form
    22,992.72/34,491.78 = 8,203.74/x
  3. Step 3: Cross multiply
    22,992.72x = 34,491.78 × 8,203.74
  4. Step 4: Simplify right side
    22,992.72x = 282,961,595.26
  5. Step 5: Solve for x
    x = 282,961,595.26/22,992.72
  6. Step 6: Final answer
    x = 12,306.57

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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.