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Finding the Fourth Proportional to 21,642.80, 32,462.04 and 6,060.56

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Solution

The fourth proportional to 21,642.80, 32,462.04 and 6,060.56 is: 9,090.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.80 : 32,462.04 = 6,060.56 : x
  2. Step 2: Convert to fraction form
    21,642.80/32,462.04 = 6,060.56/x
  3. Step 3: Cross multiply
    21,642.80x = 32,462.04 × 6,060.56
  4. Step 4: Simplify right side
    21,642.80x = 196,738,141.14
  5. Step 5: Solve for x
    x = 196,738,141.14/21,642.80
  6. Step 6: Final answer
    x = 9,090.24

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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.