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Finding the Fourth Proportional to 16,900.29, 23,324.15 and 9,730.46

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Solution

The fourth proportional to 16,900.29, 23,324.15 and 9,730.46 is: 13,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.29 : 23,324.15 = 9,730.46 : x
  2. Step 2: Convert to fraction form
    16,900.29/23,324.15 = 9,730.46/x
  3. Step 3: Cross multiply
    16,900.29x = 23,324.15 × 9,730.46
  4. Step 4: Simplify right side
    16,900.29x = 226,954,708.61
  5. Step 5: Solve for x
    x = 226,954,708.61/16,900.29
  6. Step 6: Final answer
    x = 13,429.04

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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.