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Finding the Fourth Proportional to 15,584.22, 23,257.02 and 13,922.10

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Solution

The fourth proportional to 15,584.22, 23,257.02 and 13,922.10 is: 20,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.22 : 23,257.02 = 13,922.10 : x
  2. Step 2: Convert to fraction form
    15,584.22/23,257.02 = 13,922.10/x
  3. Step 3: Cross multiply
    15,584.22x = 23,257.02 × 13,922.10
  4. Step 4: Simplify right side
    15,584.22x = 323,786,558.14
  5. Step 5: Solve for x
    x = 323,786,558.14/15,584.22
  6. Step 6: Final answer
    x = 20,776.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.