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Finding the Fourth Proportional to 22,673.75, 31,288.75 and 12,602.14

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Solution

The fourth proportional to 22,673.75, 31,288.75 and 12,602.14 is: 17,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.75 : 31,288.75 = 12,602.14 : x
  2. Step 2: Convert to fraction form
    22,673.75/31,288.75 = 12,602.14/x
  3. Step 3: Cross multiply
    22,673.75x = 31,288.75 × 12,602.14
  4. Step 4: Simplify right side
    22,673.75x = 394,305,098.20
  5. Step 5: Solve for x
    x = 394,305,098.20/22,673.75
  6. Step 6: Final answer
    x = 17,390.38

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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.