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Finding the Fourth Proportional to 18,274.14, 27,412.56 and 16,097.94

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Solution

The fourth proportional to 18,274.14, 27,412.56 and 16,097.94 is: 24,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.14 : 27,412.56 = 16,097.94 : x
  2. Step 2: Convert to fraction form
    18,274.14/27,412.56 = 16,097.94/x
  3. Step 3: Cross multiply
    18,274.14x = 27,412.56 × 16,097.94
  4. Step 4: Simplify right side
    18,274.14x = 441,285,746.13
  5. Step 5: Solve for x
    x = 441,285,746.13/18,274.14
  6. Step 6: Final answer
    x = 24,148.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.