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Finding the Fourth Proportional to 21,876.74, 32,815.38 and 6,294.50

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Solution

The fourth proportional to 21,876.74, 32,815.38 and 6,294.50 is: 9,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.74 : 32,815.38 = 6,294.50 : x
  2. Step 2: Convert to fraction form
    21,876.74/32,815.38 = 6,294.50/x
  3. Step 3: Cross multiply
    21,876.74x = 32,815.38 × 6,294.50
  4. Step 4: Simplify right side
    21,876.74x = 206,556,409.41
  5. Step 5: Solve for x
    x = 206,556,409.41/21,876.74
  6. Step 6: Final answer
    x = 9,441.83

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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.