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Finding the Fourth Proportional to 25,107.42, 37,661.37 and 7,577.40

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Solution

The fourth proportional to 25,107.42, 37,661.37 and 7,577.40 is: 11,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.42 : 37,661.37 = 7,577.40 : x
  2. Step 2: Convert to fraction form
    25,107.42/37,661.37 = 7,577.40/x
  3. Step 3: Cross multiply
    25,107.42x = 37,661.37 × 7,577.40
  4. Step 4: Simplify right side
    25,107.42x = 285,375,265.04
  5. Step 5: Solve for x
    x = 285,375,265.04/25,107.42
  6. Step 6: Final answer
    x = 11,366.17

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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.