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Finding the Fourth Proportional to 22,710.66, 31,340.07 and 12,638.94

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Solution

The fourth proportional to 22,710.66, 31,340.07 and 12,638.94 is: 17,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710.66 : 31,340.07 = 12,638.94 : x
  2. Step 2: Convert to fraction form
    22,710.66/31,340.07 = 12,638.94/x
  3. Step 3: Cross multiply
    22,710.66x = 31,340.07 × 12,638.94
  4. Step 4: Simplify right side
    22,710.66x = 396,105,264.33
  5. Step 5: Solve for x
    x = 396,105,264.33/22,710.66
  6. Step 6: Final answer
    x = 17,441.38

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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.