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Finding the Fourth Proportional to 25,512.57, 38,274.93 and 7,983.77

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Solution

The fourth proportional to 25,512.57, 38,274.93 and 7,983.77 is: 11,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,512.57 : 38,274.93 = 7,983.77 : x
  2. Step 2: Convert to fraction form
    25,512.57/38,274.93 = 7,983.77/x
  3. Step 3: Cross multiply
    25,512.57x = 38,274.93 × 7,983.77
  4. Step 4: Simplify right side
    25,512.57x = 305,578,046.51
  5. Step 5: Solve for x
    x = 305,578,046.51/25,512.57
  6. Step 6: Final answer
    x = 11,977.55

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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.