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Finding the Fourth Proportional to 22,894.70, 31,593.75 and 12,822.98

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Solution

The fourth proportional to 22,894.70, 31,593.75 and 12,822.98 is: 17,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.70 : 31,593.75 = 12,822.98 : x
  2. Step 2: Convert to fraction form
    22,894.70/31,593.75 = 12,822.98/x
  3. Step 3: Cross multiply
    22,894.70x = 31,593.75 × 12,822.98
  4. Step 4: Simplify right side
    22,894.70x = 405,126,024.38
  5. Step 5: Solve for x
    x = 405,126,024.38/22,894.70
  6. Step 6: Final answer
    x = 17,695.19

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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.