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Finding the Fourth Proportional to 17,960.74, 24,785.47 and 12,295.34

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Solution

The fourth proportional to 17,960.74, 24,785.47 and 12,295.34 is: 16,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960.74 : 24,785.47 = 12,295.34 : x
  2. Step 2: Convert to fraction form
    17,960.74/24,785.47 = 12,295.34/x
  3. Step 3: Cross multiply
    17,960.74x = 24,785.47 × 12,295.34
  4. Step 4: Simplify right side
    17,960.74x = 304,745,869.93
  5. Step 5: Solve for x
    x = 304,745,869.93/17,960.74
  6. Step 6: Final answer
    x = 16,967.34

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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.