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Finding the Fourth Proportional to 22,525.40, 31,079.90 and 13,449

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Solution

The fourth proportional to 22,525.40, 31,079.90 and 13,449 is: 18,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,525.40 : 31,079.90 = 13,449 : x
  2. Step 2: Convert to fraction form
    22,525.40/31,079.90 = 13,449/x
  3. Step 3: Cross multiply
    22,525.40x = 31,079.90 × 13,449
  4. Step 4: Simplify right side
    22,525.40x = 417,993,575.10
  5. Step 5: Solve for x
    x = 417,993,575.10/22,525.40
  6. Step 6: Final answer
    x = 18,556.54

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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.