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Finding the Fourth Proportional to 21,659.25, 32,464.09 and 9,822.04

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Solution

The fourth proportional to 21,659.25, 32,464.09 and 9,822.04 is: 14,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,659.25 : 32,464.09 = 9,822.04 : x
  2. Step 2: Convert to fraction form
    21,659.25/32,464.09 = 9,822.04/x
  3. Step 3: Cross multiply
    21,659.25x = 32,464.09 × 9,822.04
  4. Step 4: Simplify right side
    21,659.25x = 318,863,590.54
  5. Step 5: Solve for x
    x = 318,863,590.54/21,659.25
  6. Step 6: Final answer
    x = 14,721.82

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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.