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Finding the Fourth Proportional to 23,083.32, 34,618.82 and 6,440.42

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Solution

The fourth proportional to 23,083.32, 34,618.82 and 6,440.42 is: 9,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.32 : 34,618.82 = 6,440.42 : x
  2. Step 2: Convert to fraction form
    23,083.32/34,618.82 = 6,440.42/x
  3. Step 3: Cross multiply
    23,083.32x = 34,618.82 × 6,440.42
  4. Step 4: Simplify right side
    23,083.32x = 222,959,827.50
  5. Step 5: Solve for x
    x = 222,959,827.50/23,083.32
  6. Step 6: Final answer
    x = 9,658.92

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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.