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Finding the Fourth Proportional to 16,113.57, 22,238.75 and 9,039.94

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Solution

The fourth proportional to 16,113.57, 22,238.75 and 9,039.94 is: 12,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113.57 : 22,238.75 = 9,039.94 : x
  2. Step 2: Convert to fraction form
    16,113.57/22,238.75 = 9,039.94/x
  3. Step 3: Cross multiply
    16,113.57x = 22,238.75 × 9,039.94
  4. Step 4: Simplify right side
    16,113.57x = 201,036,932.68
  5. Step 5: Solve for x
    x = 201,036,932.68/16,113.57
  6. Step 6: Final answer
    x = 12,476.25

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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.