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Finding the Fourth Proportional to 21,907.84, 32,866.62 and 6,324.26

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Solution

The fourth proportional to 21,907.84, 32,866.62 and 6,324.26 is: 9,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.84 : 32,866.62 = 6,324.26 : x
  2. Step 2: Convert to fraction form
    21,907.84/32,866.62 = 6,324.26/x
  3. Step 3: Cross multiply
    21,907.84x = 32,866.62 × 6,324.26
  4. Step 4: Simplify right side
    21,907.84x = 207,857,050.20
  5. Step 5: Solve for x
    x = 207,857,050.20/21,907.84
  6. Step 6: Final answer
    x = 9,487.79

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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.