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Finding the Fourth Proportional to 16,949.96, 23,392.34 and 9,398.66

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Solution

The fourth proportional to 16,949.96, 23,392.34 and 9,398.66 is: 12,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,949.96 : 23,392.34 = 9,398.66 : x
  2. Step 2: Convert to fraction form
    16,949.96/23,392.34 = 9,398.66/x
  3. Step 3: Cross multiply
    16,949.96x = 23,392.34 × 9,398.66
  4. Step 4: Simplify right side
    16,949.96x = 219,856,486.31
  5. Step 5: Solve for x
    x = 219,856,486.31/16,949.96
  6. Step 6: Final answer
    x = 12,970.92

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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.