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Finding the Fourth Proportional to 21,505.69, 32,251.24 and 7,462.01

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Solution

The fourth proportional to 21,505.69, 32,251.24 and 7,462.01 is: 11,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.69 : 32,251.24 = 7,462.01 : x
  2. Step 2: Convert to fraction form
    21,505.69/32,251.24 = 7,462.01/x
  3. Step 3: Cross multiply
    21,505.69x = 32,251.24 × 7,462.01
  4. Step 4: Simplify right side
    21,505.69x = 240,659,075.39
  5. Step 5: Solve for x
    x = 240,659,075.39/21,505.69
  6. Step 6: Final answer
    x = 11,190.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.