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Finding the Fourth Proportional to 27,807.84, 41,703.05 and 9,083.61

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Solution

The fourth proportional to 27,807.84, 41,703.05 and 9,083.61 is: 13,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.84 : 41,703.05 = 9,083.61 : x
  2. Step 2: Convert to fraction form
    27,807.84/41,703.05 = 9,083.61/x
  3. Step 3: Cross multiply
    27,807.84x = 41,703.05 × 9,083.61
  4. Step 4: Simplify right side
    27,807.84x = 378,814,196.59
  5. Step 5: Solve for x
    x = 378,814,196.59/27,807.84
  6. Step 6: Final answer
    x = 13,622.57

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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.