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Finding the Fourth Proportional to 16,872.14, 23,293.50 and 11,574.74

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Solution

The fourth proportional to 16,872.14, 23,293.50 and 11,574.74 is: 15,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.14 : 23,293.50 = 11,574.74 : x
  2. Step 2: Convert to fraction form
    16,872.14/23,293.50 = 11,574.74/x
  3. Step 3: Cross multiply
    16,872.14x = 23,293.50 × 11,574.74
  4. Step 4: Simplify right side
    16,872.14x = 269,616,206.19
  5. Step 5: Solve for x
    x = 269,616,206.19/16,872.14
  6. Step 6: Final answer
    x = 15,979.96

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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.