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Finding the Fourth Proportional to 17,559.99, 24,232.73 and 9,902.66

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Solution

The fourth proportional to 17,559.99, 24,232.73 and 9,902.66 is: 13,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,559.99 : 24,232.73 = 9,902.66 : x
  2. Step 2: Convert to fraction form
    17,559.99/24,232.73 = 9,902.66/x
  3. Step 3: Cross multiply
    17,559.99x = 24,232.73 × 9,902.66
  4. Step 4: Simplify right side
    17,559.99x = 239,968,315.38
  5. Step 5: Solve for x
    x = 239,968,315.38/17,559.99
  6. Step 6: Final answer
    x = 13,665.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.