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Finding the Fourth Proportional to 22,653.37, 33,969.09 and 9,502.21

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Solution

The fourth proportional to 22,653.37, 33,969.09 and 9,502.21 is: 14,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.37 : 33,969.09 = 9,502.21 : x
  2. Step 2: Convert to fraction form
    22,653.37/33,969.09 = 9,502.21/x
  3. Step 3: Cross multiply
    22,653.37x = 33,969.09 × 9,502.21
  4. Step 4: Simplify right side
    22,653.37x = 322,781,426.69
  5. Step 5: Solve for x
    x = 322,781,426.69/22,653.37
  6. Step 6: Final answer
    x = 14,248.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.