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Finding the Fourth Proportional to 23,032.41, 34,555.91 and 8,241

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Solution

The fourth proportional to 23,032.41, 34,555.91 and 8,241 is: 12,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,032.41 : 34,555.91 = 8,241 : x
  2. Step 2: Convert to fraction form
    23,032.41/34,555.91 = 8,241/x
  3. Step 3: Cross multiply
    23,032.41x = 34,555.91 × 8,241
  4. Step 4: Simplify right side
    23,032.41x = 284,775,213.11
  5. Step 5: Solve for x
    x = 284,775,213.11/23,032.41
  6. Step 6: Final answer
    x = 12,364.11

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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.