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Finding the Fourth Proportional to 22,537.82, 31,104.90 and 13,106.39

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Solution

The fourth proportional to 22,537.82, 31,104.90 and 13,106.39 is: 18,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.82 : 31,104.90 = 13,106.39 : x
  2. Step 2: Convert to fraction form
    22,537.82/31,104.90 = 13,106.39/x
  3. Step 3: Cross multiply
    22,537.82x = 31,104.90 × 13,106.39
  4. Step 4: Simplify right side
    22,537.82x = 407,672,794.79
  5. Step 5: Solve for x
    x = 407,672,794.79/22,537.82
  6. Step 6: Final answer
    x = 18,088.39

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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.