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Finding the Fourth Proportional to 22,555.09, 31,131.03 and 13,129.12

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Solution

The fourth proportional to 22,555.09, 31,131.03 and 13,129.12 is: 18,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,555.09 : 31,131.03 = 13,129.12 : x
  2. Step 2: Convert to fraction form
    22,555.09/31,131.03 = 13,129.12/x
  3. Step 3: Cross multiply
    22,555.09x = 31,131.03 × 13,129.12
  4. Step 4: Simplify right side
    22,555.09x = 408,723,028.59
  5. Step 5: Solve for x
    x = 408,723,028.59/22,555.09
  6. Step 6: Final answer
    x = 18,121.10

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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.