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Finding the Fourth Proportional to 24,071.75, 33,223.61 and 16,127.82

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Solution

The fourth proportional to 24,071.75, 33,223.61 and 16,127.82 is: 22,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.75 : 33,223.61 = 16,127.82 : x
  2. Step 2: Convert to fraction form
    24,071.75/33,223.61 = 16,127.82/x
  3. Step 3: Cross multiply
    24,071.75x = 33,223.61 × 16,127.82
  4. Step 4: Simplify right side
    24,071.75x = 535,824,321.19
  5. Step 5: Solve for x
    x = 535,824,321.19/24,071.75
  6. Step 6: Final answer
    x = 22,259.47

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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.