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Finding the Fourth Proportional to 22,635.96, 31,237.04 and 12,564.38

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Solution

The fourth proportional to 22,635.96, 31,237.04 and 12,564.38 is: 17,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.96 : 31,237.04 = 12,564.38 : x
  2. Step 2: Convert to fraction form
    22,635.96/31,237.04 = 12,564.38/x
  3. Step 3: Cross multiply
    22,635.96x = 31,237.04 × 12,564.38
  4. Step 4: Simplify right side
    22,635.96x = 392,474,040.64
  5. Step 5: Solve for x
    x = 392,474,040.64/22,635.96
  6. Step 6: Final answer
    x = 17,338.52

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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.