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Finding the Fourth Proportional to 25,643.42, 38,461.28 and 8,110.97

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Solution

The fourth proportional to 25,643.42, 38,461.28 and 8,110.97 is: 12,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.42 : 38,461.28 = 8,110.97 : x
  2. Step 2: Convert to fraction form
    25,643.42/38,461.28 = 8,110.97/x
  3. Step 3: Cross multiply
    25,643.42x = 38,461.28 × 8,110.97
  4. Step 4: Simplify right side
    25,643.42x = 311,958,245.23
  5. Step 5: Solve for x
    x = 311,958,245.23/25,643.42
  6. Step 6: Final answer
    x = 12,165.24

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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.