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Finding the Fourth Proportional to 22,154.91, 33,238.65 and 9,016.71

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Solution

The fourth proportional to 22,154.91, 33,238.65 and 9,016.71 is: 13,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.91 : 33,238.65 = 9,016.71 : x
  2. Step 2: Convert to fraction form
    22,154.91/33,238.65 = 9,016.71/x
  3. Step 3: Cross multiply
    22,154.91x = 33,238.65 × 9,016.71
  4. Step 4: Simplify right side
    22,154.91x = 299,703,328.40
  5. Step 5: Solve for x
    x = 299,703,328.40/22,154.91
  6. Step 6: Final answer
    x = 13,527.62

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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.