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Finding the Fourth Proportional to 22,833.28, 34,269.36 and 8,992

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Solution

The fourth proportional to 22,833.28, 34,269.36 and 8,992 is: 13,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.28 : 34,269.36 = 8,992 : x
  2. Step 2: Convert to fraction form
    22,833.28/34,269.36 = 8,992/x
  3. Step 3: Cross multiply
    22,833.28x = 34,269.36 × 8,992
  4. Step 4: Simplify right side
    22,833.28x = 308,150,085.12
  5. Step 5: Solve for x
    x = 308,150,085.12/22,833.28
  6. Step 6: Final answer
    x = 13,495.66

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Why These Related Problems?

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