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Finding the Fourth Proportional to 15,522.56, 21,422 and 8,448.84

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Solution

The fourth proportional to 15,522.56, 21,422 and 8,448.84 is: 11,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,522.56 : 21,422 = 8,448.84 : x
  2. Step 2: Convert to fraction form
    15,522.56/21,422 = 8,448.84/x
  3. Step 3: Cross multiply
    15,522.56x = 21,422 × 8,448.84
  4. Step 4: Simplify right side
    15,522.56x = 180,991,050.48
  5. Step 5: Solve for x
    x = 180,991,050.48/15,522.56
  6. Step 6: Final answer
    x = 11,659.87

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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.