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Finding the Fourth Proportional to 24,223.10, 33,407.06 and 15,716.84

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Solution

The fourth proportional to 24,223.10, 33,407.06 and 15,716.84 is: 21,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.10 : 33,407.06 = 15,716.84 : x
  2. Step 2: Convert to fraction form
    24,223.10/33,407.06 = 15,716.84/x
  3. Step 3: Cross multiply
    24,223.10x = 33,407.06 × 15,716.84
  4. Step 4: Simplify right side
    24,223.10x = 525,053,171.27
  5. Step 5: Solve for x
    x = 525,053,171.27/24,223.10
  6. Step 6: Final answer
    x = 21,675.73

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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.