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Finding the Fourth Proportional to 25,893.21, 38,847.97 and 9,252.87

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Solution

The fourth proportional to 25,893.21, 38,847.97 and 9,252.87 is: 13,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893.21 : 38,847.97 = 9,252.87 : x
  2. Step 2: Convert to fraction form
    25,893.21/38,847.97 = 9,252.87/x
  3. Step 3: Cross multiply
    25,893.21x = 38,847.97 × 9,252.87
  4. Step 4: Simplify right side
    25,893.21x = 359,455,216.17
  5. Step 5: Solve for x
    x = 359,455,216.17/25,893.21
  6. Step 6: Final answer
    x = 13,882.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.