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Finding the Fourth Proportional to 15,194.84, 20,961.69 and 9,887.72

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Solution

The fourth proportional to 15,194.84, 20,961.69 and 9,887.72 is: 13,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.84 : 20,961.69 = 9,887.72 : x
  2. Step 2: Convert to fraction form
    15,194.84/20,961.69 = 9,887.72/x
  3. Step 3: Cross multiply
    15,194.84x = 20,961.69 × 9,887.72
  4. Step 4: Simplify right side
    15,194.84x = 207,263,321.45
  5. Step 5: Solve for x
    x = 207,263,321.45/15,194.84
  6. Step 6: Final answer
    x = 13,640.38

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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.