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Finding the Fourth Proportional to 26,522.54, 39,784.26 and 8,992.82

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Solution

The fourth proportional to 26,522.54, 39,784.26 and 8,992.82 is: 13,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,522.54 : 39,784.26 = 8,992.82 : x
  2. Step 2: Convert to fraction form
    26,522.54/39,784.26 = 8,992.82/x
  3. Step 3: Cross multiply
    26,522.54x = 39,784.26 × 8,992.82
  4. Step 4: Simplify right side
    26,522.54x = 357,772,490.09
  5. Step 5: Solve for x
    x = 357,772,490.09/26,522.54
  6. Step 6: Final answer
    x = 13,489.38

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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.