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Finding the Fourth Proportional to 21,826.62, 32,739.69 and 7,975.50

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Solution

The fourth proportional to 21,826.62, 32,739.69 and 7,975.50 is: 11,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826.62 : 32,739.69 = 7,975.50 : x
  2. Step 2: Convert to fraction form
    21,826.62/32,739.69 = 7,975.50/x
  3. Step 3: Cross multiply
    21,826.62x = 32,739.69 × 7,975.50
  4. Step 4: Simplify right side
    21,826.62x = 261,115,397.60
  5. Step 5: Solve for x
    x = 261,115,397.60/21,826.62
  6. Step 6: Final answer
    x = 11,963.16

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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.