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Finding the Fourth Proportional to 16,224.14, 24,302.15 and 10,297.97

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Solution

The fourth proportional to 16,224.14, 24,302.15 and 10,297.97 is: 15,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.14 : 24,302.15 = 10,297.97 : x
  2. Step 2: Convert to fraction form
    16,224.14/24,302.15 = 10,297.97/x
  3. Step 3: Cross multiply
    16,224.14x = 24,302.15 × 10,297.97
  4. Step 4: Simplify right side
    16,224.14x = 250,262,905.08
  5. Step 5: Solve for x
    x = 250,262,905.08/16,224.14
  6. Step 6: Final answer
    x = 15,425.34

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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.