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Finding the Fourth Proportional to 27,493.86, 41,240.80 and 9,957.90

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Solution

The fourth proportional to 27,493.86, 41,240.80 and 9,957.90 is: 14,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,493.86 : 41,240.80 = 9,957.90 : x
  2. Step 2: Convert to fraction form
    27,493.86/41,240.80 = 9,957.90/x
  3. Step 3: Cross multiply
    27,493.86x = 41,240.80 × 9,957.90
  4. Step 4: Simplify right side
    27,493.86x = 410,671,762.32
  5. Step 5: Solve for x
    x = 410,671,762.32/27,493.86
  6. Step 6: Final answer
    x = 14,936.85

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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.