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Finding the Fourth Proportional to 25,850.16, 38,775.24 and 8,320.32

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Solution

The fourth proportional to 25,850.16, 38,775.24 and 8,320.32 is: 12,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.16 : 38,775.24 = 8,320.32 : x
  2. Step 2: Convert to fraction form
    25,850.16/38,775.24 = 8,320.32/x
  3. Step 3: Cross multiply
    25,850.16x = 38,775.24 × 8,320.32
  4. Step 4: Simplify right side
    25,850.16x = 322,622,404.88
  5. Step 5: Solve for x
    x = 322,622,404.88/25,850.16
  6. Step 6: Final answer
    x = 12,480.48

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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.