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Finding the Fourth Proportional to 25,494.93, 38,242.41 and 7,966.26

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Solution

The fourth proportional to 25,494.93, 38,242.41 and 7,966.26 is: 11,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.93 : 38,242.41 = 7,966.26 : x
  2. Step 2: Convert to fraction form
    25,494.93/38,242.41 = 7,966.26/x
  3. Step 3: Cross multiply
    25,494.93x = 38,242.41 × 7,966.26
  4. Step 4: Simplify right side
    25,494.93x = 304,648,981.09
  5. Step 5: Solve for x
    x = 304,648,981.09/25,494.93
  6. Step 6: Final answer
    x = 11,949.39

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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.