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Finding the Fourth Proportional to 28,101.48, 38,767.86 and 16,917

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Solution

The fourth proportional to 28,101.48, 38,767.86 and 16,917 is: 23,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,101.48 : 38,767.86 = 16,917 : x
  2. Step 2: Convert to fraction form
    28,101.48/38,767.86 = 16,917/x
  3. Step 3: Cross multiply
    28,101.48x = 38,767.86 × 16,917
  4. Step 4: Simplify right side
    28,101.48x = 655,835,887.62
  5. Step 5: Solve for x
    x = 655,835,887.62/28,101.48
  6. Step 6: Final answer
    x = 23,338.13

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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.