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Finding the Fourth Proportional to 22,534.88, 31,100.84 and 13,103.44

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Solution

The fourth proportional to 22,534.88, 31,100.84 and 13,103.44 is: 18,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.88 : 31,100.84 = 13,103.44 : x
  2. Step 2: Convert to fraction form
    22,534.88/31,100.84 = 13,103.44/x
  3. Step 3: Cross multiply
    22,534.88x = 31,100.84 × 13,103.44
  4. Step 4: Simplify right side
    22,534.88x = 407,527,990.89
  5. Step 5: Solve for x
    x = 407,527,990.89/22,534.88
  6. Step 6: Final answer
    x = 18,084.32

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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.