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Finding the Fourth Proportional to 21,733.30, 32,587.80 and 9,251.20

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Solution

The fourth proportional to 21,733.30, 32,587.80 and 9,251.20 is: 13,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,733.30 : 32,587.80 = 9,251.20 : x
  2. Step 2: Convert to fraction form
    21,733.30/32,587.80 = 9,251.20/x
  3. Step 3: Cross multiply
    21,733.30x = 32,587.80 × 9,251.20
  4. Step 4: Simplify right side
    21,733.30x = 301,476,255.36
  5. Step 5: Solve for x
    x = 301,476,255.36/21,733.30
  6. Step 6: Final answer
    x = 13,871.63

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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.