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Finding the Fourth Proportional to 27,887.67, 38,485.01 and 15,140.85

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Solution

The fourth proportional to 27,887.67, 38,485.01 and 15,140.85 is: 20,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.67 : 38,485.01 = 15,140.85 : x
  2. Step 2: Convert to fraction form
    27,887.67/38,485.01 = 15,140.85/x
  3. Step 3: Cross multiply
    27,887.67x = 38,485.01 × 15,140.85
  4. Step 4: Simplify right side
    27,887.67x = 582,695,763.66
  5. Step 5: Solve for x
    x = 582,695,763.66/27,887.67
  6. Step 6: Final answer
    x = 20,894.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.