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Finding the Fourth Proportional to 17,920.49, 24,729.99 and 9,961.70

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Solution

The fourth proportional to 17,920.49, 24,729.99 and 9,961.70 is: 13,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.49 : 24,729.99 = 9,961.70 : x
  2. Step 2: Convert to fraction form
    17,920.49/24,729.99 = 9,961.70/x
  3. Step 3: Cross multiply
    17,920.49x = 24,729.99 × 9,961.70
  4. Step 4: Simplify right side
    17,920.49x = 246,352,741.38
  5. Step 5: Solve for x
    x = 246,352,741.38/17,920.49
  6. Step 6: Final answer
    x = 13,746.99

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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.