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Finding the Fourth Proportional to 27,587.52, 41,363.48 and 11,802.85

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Solution

The fourth proportional to 27,587.52, 41,363.48 and 11,802.85 is: 17,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587.52 : 41,363.48 = 11,802.85 : x
  2. Step 2: Convert to fraction form
    27,587.52/41,363.48 = 11,802.85/x
  3. Step 3: Cross multiply
    27,587.52x = 41,363.48 × 11,802.85
  4. Step 4: Simplify right side
    27,587.52x = 488,206,787.50
  5. Step 5: Solve for x
    x = 488,206,787.50/27,587.52
  6. Step 6: Final answer
    x = 17,696.65

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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.