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Finding the Fourth Proportional to 22,537.32, 31,104.21 and 13,105.88

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Solution

The fourth proportional to 22,537.32, 31,104.21 and 13,105.88 is: 18,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.32 : 31,104.21 = 13,105.88 : x
  2. Step 2: Convert to fraction form
    22,537.32/31,104.21 = 13,105.88/x
  3. Step 3: Cross multiply
    22,537.32x = 31,104.21 × 13,105.88
  4. Step 4: Simplify right side
    22,537.32x = 407,648,043.75
  5. Step 5: Solve for x
    x = 407,648,043.75/22,537.32
  6. Step 6: Final answer
    x = 18,087.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.