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Finding the Fourth Proportional to 21,407.20, 32,101.20 and 8,255.20

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Solution

The fourth proportional to 21,407.20, 32,101.20 and 8,255.20 is: 12,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.20 : 32,101.20 = 8,255.20 : x
  2. Step 2: Convert to fraction form
    21,407.20/32,101.20 = 8,255.20/x
  3. Step 3: Cross multiply
    21,407.20x = 32,101.20 × 8,255.20
  4. Step 4: Simplify right side
    21,407.20x = 265,001,826.24
  5. Step 5: Solve for x
    x = 265,001,826.24/21,407.20
  6. Step 6: Final answer
    x = 12,379.10

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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.