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Finding the Fourth Proportional to 15,074.88, 22,617.72 and 5,215.14

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Solution

The fourth proportional to 15,074.88, 22,617.72 and 5,215.14 is: 7,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074.88 : 22,617.72 = 5,215.14 : x
  2. Step 2: Convert to fraction form
    15,074.88/22,617.72 = 5,215.14/x
  3. Step 3: Cross multiply
    15,074.88x = 22,617.72 × 5,215.14
  4. Step 4: Simplify right side
    15,074.88x = 117,954,576.28
  5. Step 5: Solve for x
    x = 117,954,576.28/15,074.88
  6. Step 6: Final answer
    x = 7,824.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.