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Finding the Fourth Proportional to 15,258.12, 22,895.84 and 8,238.05

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Solution

The fourth proportional to 15,258.12, 22,895.84 and 8,238.05 is: 12,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258.12 : 22,895.84 = 8,238.05 : x
  2. Step 2: Convert to fraction form
    15,258.12/22,895.84 = 8,238.05/x
  3. Step 3: Cross multiply
    15,258.12x = 22,895.84 × 8,238.05
  4. Step 4: Simplify right side
    15,258.12x = 188,616,919.04
  5. Step 5: Solve for x
    x = 188,616,919.04/15,258.12
  6. Step 6: Final answer
    x = 12,361.74

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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.