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Finding the Fourth Proportional to 22,523.10, 31,090.23 and 13,571.10

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Solution

The fourth proportional to 22,523.10, 31,090.23 and 13,571.10 is: 18,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.10 : 31,090.23 = 13,571.10 : x
  2. Step 2: Convert to fraction form
    22,523.10/31,090.23 = 13,571.10/x
  3. Step 3: Cross multiply
    22,523.10x = 31,090.23 × 13,571.10
  4. Step 4: Simplify right side
    22,523.10x = 421,928,620.35
  5. Step 5: Solve for x
    x = 421,928,620.35/22,523.10
  6. Step 6: Final answer
    x = 18,733.15

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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.