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Finding the Fourth Proportional to 24,097.86, 33,274.17 and 16,039.26

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Solution

The fourth proportional to 24,097.86, 33,274.17 and 16,039.26 is: 22,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.86 : 33,274.17 = 16,039.26 : x
  2. Step 2: Convert to fraction form
    24,097.86/33,274.17 = 16,039.26/x
  3. Step 3: Cross multiply
    24,097.86x = 33,274.17 × 16,039.26
  4. Step 4: Simplify right side
    24,097.86x = 533,693,063.91
  5. Step 5: Solve for x
    x = 533,693,063.91/24,097.86
  6. Step 6: Final answer
    x = 22,146.91

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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.