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Finding the Fourth Proportional to 25,304.82, 37,957.23 and 7,774.80

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Solution

The fourth proportional to 25,304.82, 37,957.23 and 7,774.80 is: 11,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,304.82 : 37,957.23 = 7,774.80 : x
  2. Step 2: Convert to fraction form
    25,304.82/37,957.23 = 7,774.80/x
  3. Step 3: Cross multiply
    25,304.82x = 37,957.23 × 7,774.80
  4. Step 4: Simplify right side
    25,304.82x = 295,109,871.80
  5. Step 5: Solve for x
    x = 295,109,871.80/25,304.82
  6. Step 6: Final answer
    x = 11,662.20

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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.