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Finding the Fourth Proportional to 16,406.65, 22,639.12 and 9,333.19

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Solution

The fourth proportional to 16,406.65, 22,639.12 and 9,333.19 is: 12,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.65 : 22,639.12 = 9,333.19 : x
  2. Step 2: Convert to fraction form
    16,406.65/22,639.12 = 9,333.19/x
  3. Step 3: Cross multiply
    16,406.65x = 22,639.12 × 9,333.19
  4. Step 4: Simplify right side
    16,406.65x = 211,295,208.39
  5. Step 5: Solve for x
    x = 211,295,208.39/16,406.65
  6. Step 6: Final answer
    x = 12,878.63

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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.