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Finding the Fourth Proportional to 21,834.33, 32,751.51 and 9,346.25

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Solution

The fourth proportional to 21,834.33, 32,751.51 and 9,346.25 is: 14,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.33 : 32,751.51 = 9,346.25 : x
  2. Step 2: Convert to fraction form
    21,834.33/32,751.51 = 9,346.25/x
  3. Step 3: Cross multiply
    21,834.33x = 32,751.51 × 9,346.25
  4. Step 4: Simplify right side
    21,834.33x = 306,103,847.17
  5. Step 5: Solve for x
    x = 306,103,847.17/21,834.33
  6. Step 6: Final answer
    x = 14,019.39

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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.