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Finding the Fourth Proportional to 21,475.06, 32,204.69 and 7,431.48

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Solution

The fourth proportional to 21,475.06, 32,204.69 and 7,431.48 is: 11,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,475.06 : 32,204.69 = 7,431.48 : x
  2. Step 2: Convert to fraction form
    21,475.06/32,204.69 = 7,431.48/x
  3. Step 3: Cross multiply
    21,475.06x = 32,204.69 × 7,431.48
  4. Step 4: Simplify right side
    21,475.06x = 239,328,500.35
  5. Step 5: Solve for x
    x = 239,328,500.35/21,475.06
  6. Step 6: Final answer
    x = 11,144.49

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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.