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Finding the Fourth Proportional to 15,147.68, 22,724.57 and 5,284.32

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Solution

The fourth proportional to 15,147.68, 22,724.57 and 5,284.32 is: 7,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.68 : 22,724.57 = 5,284.32 : x
  2. Step 2: Convert to fraction form
    15,147.68/22,724.57 = 5,284.32/x
  3. Step 3: Cross multiply
    15,147.68x = 22,724.57 × 5,284.32
  4. Step 4: Simplify right side
    15,147.68x = 120,083,899.74
  5. Step 5: Solve for x
    x = 120,083,899.74/15,147.68
  6. Step 6: Final answer
    x = 7,927.54

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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.