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Finding the Fourth Proportional to 22,767.48, 31,401.37 and 14,812.27

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Solution

The fourth proportional to 22,767.48, 31,401.37 and 14,812.27 is: 20,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767.48 : 31,401.37 = 14,812.27 : x
  2. Step 2: Convert to fraction form
    22,767.48/31,401.37 = 14,812.27/x
  3. Step 3: Cross multiply
    22,767.48x = 31,401.37 × 14,812.27
  4. Step 4: Simplify right side
    22,767.48x = 465,125,510.82
  5. Step 5: Solve for x
    x = 465,125,510.82/22,767.48
  6. Step 6: Final answer
    x = 20,429.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.