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Finding the Fourth Proportional to 16,106.29, 22,225.92 and 9,033.37

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Solution

The fourth proportional to 16,106.29, 22,225.92 and 9,033.37 is: 12,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.29 : 22,225.92 = 9,033.37 : x
  2. Step 2: Convert to fraction form
    16,106.29/22,225.92 = 9,033.37/x
  3. Step 3: Cross multiply
    16,106.29x = 22,225.92 × 9,033.37
  4. Step 4: Simplify right side
    16,106.29x = 200,774,847.82
  5. Step 5: Solve for x
    x = 200,774,847.82/16,106.29
  6. Step 6: Final answer
    x = 12,465.62

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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.