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Finding the Fourth Proportional to 21,842.64, 32,769.42 and 6,260.25

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Solution

The fourth proportional to 21,842.64, 32,769.42 and 6,260.25 is: 9,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.64 : 32,769.42 = 6,260.25 : x
  2. Step 2: Convert to fraction form
    21,842.64/32,769.42 = 6,260.25/x
  3. Step 3: Cross multiply
    21,842.64x = 32,769.42 × 6,260.25
  4. Step 4: Simplify right side
    21,842.64x = 205,144,761.56
  5. Step 5: Solve for x
    x = 205,144,761.56/21,842.64
  6. Step 6: Final answer
    x = 9,391.94

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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.