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Finding the Fourth Proportional to 22,986.98, 31,722.78 and 12,917.36

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Solution

The fourth proportional to 22,986.98, 31,722.78 and 12,917.36 is: 17,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.98 : 31,722.78 = 12,917.36 : x
  2. Step 2: Convert to fraction form
    22,986.98/31,722.78 = 12,917.36/x
  3. Step 3: Cross multiply
    22,986.98x = 31,722.78 × 12,917.36
  4. Step 4: Simplify right side
    22,986.98x = 409,774,569.46
  5. Step 5: Solve for x
    x = 409,774,569.46/22,986.98
  6. Step 6: Final answer
    x = 17,826.38

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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.