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Finding the Fourth Proportional to 22,472.26, 33,709.17 and 8,430.85

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Solution

The fourth proportional to 22,472.26, 33,709.17 and 8,430.85 is: 12,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.26 : 33,709.17 = 8,430.85 : x
  2. Step 2: Convert to fraction form
    22,472.26/33,709.17 = 8,430.85/x
  3. Step 3: Cross multiply
    22,472.26x = 33,709.17 × 8,430.85
  4. Step 4: Simplify right side
    22,472.26x = 284,196,955.89
  5. Step 5: Solve for x
    x = 284,196,955.89/22,472.26
  6. Step 6: Final answer
    x = 12,646.57

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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.