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Finding the Fourth Proportional to 27,026.48, 40,539.24 and 8,558

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Solution

The fourth proportional to 27,026.48, 40,539.24 and 8,558 is: 12,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026.48 : 40,539.24 = 8,558 : x
  2. Step 2: Convert to fraction form
    27,026.48/40,539.24 = 8,558/x
  3. Step 3: Cross multiply
    27,026.48x = 40,539.24 × 8,558
  4. Step 4: Simplify right side
    27,026.48x = 346,934,815.92
  5. Step 5: Solve for x
    x = 346,934,815.92/27,026.48
  6. Step 6: Final answer
    x = 12,836.85

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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.