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Finding the Fourth Proportional to 24,218.50, 33,435.23 and 15,728.22

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Solution

The fourth proportional to 24,218.50, 33,435.23 and 15,728.22 is: 21,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,218.50 : 33,435.23 = 15,728.22 : x
  2. Step 2: Convert to fraction form
    24,218.50/33,435.23 = 15,728.22/x
  3. Step 3: Cross multiply
    24,218.50x = 33,435.23 × 15,728.22
  4. Step 4: Simplify right side
    24,218.50x = 525,876,653.19
  5. Step 5: Solve for x
    x = 525,876,653.19/24,218.50
  6. Step 6: Final answer
    x = 21,713.84

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