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Finding the Fourth Proportional to 25,856.92, 38,788.86 and 8,322.52

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Solution

The fourth proportional to 25,856.92, 38,788.86 and 8,322.52 is: 12,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.92 : 38,788.86 = 8,322.52 : x
  2. Step 2: Convert to fraction form
    25,856.92/38,788.86 = 8,322.52/x
  3. Step 3: Cross multiply
    25,856.92x = 38,788.86 × 8,322.52
  4. Step 4: Simplify right side
    25,856.92x = 322,821,063.13
  5. Step 5: Solve for x
    x = 322,821,063.13/25,856.92
  6. Step 6: Final answer
    x = 12,484.90

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Why These Related Problems?

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