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Finding the Fourth Proportional to 25,856.42, 38,788.11 and 8,322.02

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Solution

The fourth proportional to 25,856.42, 38,788.11 and 8,322.02 is: 12,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.42 : 38,788.11 = 8,322.02 : x
  2. Step 2: Convert to fraction form
    25,856.42/38,788.11 = 8,322.02/x
  3. Step 3: Cross multiply
    25,856.42x = 38,788.11 × 8,322.02
  4. Step 4: Simplify right side
    25,856.42x = 322,795,427.18
  5. Step 5: Solve for x
    x = 322,795,427.18/25,856.42
  6. Step 6: Final answer
    x = 12,484.15

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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.