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Finding the Fourth Proportional to 22,548.72, 31,114.20 and 13,110

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Solution

The fourth proportional to 22,548.72, 31,114.20 and 13,110 is: 18,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.72 : 31,114.20 = 13,110 : x
  2. Step 2: Convert to fraction form
    22,548.72/31,114.20 = 13,110/x
  3. Step 3: Cross multiply
    22,548.72x = 31,114.20 × 13,110
  4. Step 4: Simplify right side
    22,548.72x = 407,907,162
  5. Step 5: Solve for x
    x = 407,907,162/22,548.72
  6. Step 6: Final answer
    x = 18,090.04

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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.