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Finding the Fourth Proportional to 22,853.71, 31,467.99 and 20,005.14

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Solution

The fourth proportional to 22,853.71, 31,467.99 and 20,005.14 is: 27,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.71 : 31,467.99 = 20,005.14 : x
  2. Step 2: Convert to fraction form
    22,853.71/31,467.99 = 20,005.14/x
  3. Step 3: Cross multiply
    22,853.71x = 31,467.99 × 20,005.14
  4. Step 4: Simplify right side
    22,853.71x = 629,521,545.47
  5. Step 5: Solve for x
    x = 629,521,545.47/22,853.71
  6. Step 6: Final answer
    x = 27,545.70

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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.