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Finding the Fourth Proportional to 21,608.96, 32,399.80 and 9,122.52

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Solution

The fourth proportional to 21,608.96, 32,399.80 and 9,122.52 is: 13,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,608.96 : 32,399.80 = 9,122.52 : x
  2. Step 2: Convert to fraction form
    21,608.96/32,399.80 = 9,122.52/x
  3. Step 3: Cross multiply
    21,608.96x = 32,399.80 × 9,122.52
  4. Step 4: Simplify right side
    21,608.96x = 295,567,823.50
  5. Step 5: Solve for x
    x = 295,567,823.50/21,608.96
  6. Step 6: Final answer
    x = 13,678.02

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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.