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Finding the Fourth Proportional to 16,185.81, 22,338.48 and 9,113.56

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Solution

The fourth proportional to 16,185.81, 22,338.48 and 9,113.56 is: 12,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.81 : 22,338.48 = 9,113.56 : x
  2. Step 2: Convert to fraction form
    16,185.81/22,338.48 = 9,113.56/x
  3. Step 3: Cross multiply
    16,185.81x = 22,338.48 × 9,113.56
  4. Step 4: Simplify right side
    16,185.81x = 203,583,077.79
  5. Step 5: Solve for x
    x = 203,583,077.79/16,185.81
  6. Step 6: Final answer
    x = 12,577.87

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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.