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Finding the Fourth Proportional to 17,665.41, 24,352.59 and 12,343.71

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Solution

The fourth proportional to 17,665.41, 24,352.59 and 12,343.71 is: 17,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.41 : 24,352.59 = 12,343.71 : x
  2. Step 2: Convert to fraction form
    17,665.41/24,352.59 = 12,343.71/x
  3. Step 3: Cross multiply
    17,665.41x = 24,352.59 × 12,343.71
  4. Step 4: Simplify right side
    17,665.41x = 300,601,308.71
  5. Step 5: Solve for x
    x = 300,601,308.71/17,665.41
  6. Step 6: Final answer
    x = 17,016.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.