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Finding the Fourth Proportional to 25,165.14, 37,612.14 and 21,977.58

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Solution

The fourth proportional to 25,165.14, 37,612.14 and 21,977.58 is: 32,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.14 : 37,612.14 = 21,977.58 : x
  2. Step 2: Convert to fraction form
    25,165.14/37,612.14 = 21,977.58/x
  3. Step 3: Cross multiply
    25,165.14x = 37,612.14 × 21,977.58
  4. Step 4: Simplify right side
    25,165.14x = 826,623,815.82
  5. Step 5: Solve for x
    x = 826,623,815.82/25,165.14
  6. Step 6: Final answer
    x = 32,847.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.