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Finding the Fourth Proportional to 25,856.16, 38,784.24 and 8,326.32

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Solution

The fourth proportional to 25,856.16, 38,784.24 and 8,326.32 is: 12,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.16 : 38,784.24 = 8,326.32 : x
  2. Step 2: Convert to fraction form
    25,856.16/38,784.24 = 8,326.32/x
  3. Step 3: Cross multiply
    25,856.16x = 38,784.24 × 8,326.32
  4. Step 4: Simplify right side
    25,856.16x = 322,929,993.20
  5. Step 5: Solve for x
    x = 322,929,993.20/25,856.16
  6. Step 6: Final answer
    x = 12,489.48

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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.