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Finding the Fourth Proportional to 18,267.97, 27,402 and 4,416.97

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Solution

The fourth proportional to 18,267.97, 27,402 and 4,416.97 is: 6,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,267.97 : 27,402 = 4,416.97 : x
  2. Step 2: Convert to fraction form
    18,267.97/27,402 = 4,416.97/x
  3. Step 3: Cross multiply
    18,267.97x = 27,402 × 4,416.97
  4. Step 4: Simplify right side
    18,267.97x = 121,033,811.94
  5. Step 5: Solve for x
    x = 121,033,811.94/18,267.97
  6. Step 6: Final answer
    x = 6,625.47

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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.