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Finding the Fourth Proportional to 22,990.25, 34,456.52 and 9,827.15

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Solution

The fourth proportional to 22,990.25, 34,456.52 and 9,827.15 is: 14,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990.25 : 34,456.52 = 9,827.15 : x
  2. Step 2: Convert to fraction form
    22,990.25/34,456.52 = 9,827.15/x
  3. Step 3: Cross multiply
    22,990.25x = 34,456.52 × 9,827.15
  4. Step 4: Simplify right side
    22,990.25x = 338,609,242.80
  5. Step 5: Solve for x
    x = 338,609,242.80/22,990.25
  6. Step 6: Final answer
    x = 14,728.38

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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.