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Finding the Fourth Proportional to 25,494.54, 38,245.05 and 7,965.42

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Solution

The fourth proportional to 25,494.54, 38,245.05 and 7,965.42 is: 11,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.54 : 38,245.05 = 7,965.42 : x
  2. Step 2: Convert to fraction form
    25,494.54/38,245.05 = 7,965.42/x
  3. Step 3: Cross multiply
    25,494.54x = 38,245.05 × 7,965.42
  4. Step 4: Simplify right side
    25,494.54x = 304,637,886.17
  5. Step 5: Solve for x
    x = 304,637,886.17/25,494.54
  6. Step 6: Final answer
    x = 11,949.14

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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.