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Finding the Fourth Proportional to 29,705.40, 40,993.39 and 16,277.09

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Solution

The fourth proportional to 29,705.40, 40,993.39 and 16,277.09 is: 22,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.40 : 40,993.39 = 16,277.09 : x
  2. Step 2: Convert to fraction form
    29,705.40/40,993.39 = 16,277.09/x
  3. Step 3: Cross multiply
    29,705.40x = 40,993.39 × 16,277.09
  4. Step 4: Simplify right side
    29,705.40x = 667,252,913.81
  5. Step 5: Solve for x
    x = 667,252,913.81/29,705.40
  6. Step 6: Final answer
    x = 22,462.34

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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.