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Finding the Fourth Proportional to 17,720.94, 24,454.68 and 9,763

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Solution

The fourth proportional to 17,720.94, 24,454.68 and 9,763 is: 13,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.94 : 24,454.68 = 9,763 : x
  2. Step 2: Convert to fraction form
    17,720.94/24,454.68 = 9,763/x
  3. Step 3: Cross multiply
    17,720.94x = 24,454.68 × 9,763
  4. Step 4: Simplify right side
    17,720.94x = 238,751,040.84
  5. Step 5: Solve for x
    x = 238,751,040.84/17,720.94
  6. Step 6: Final answer
    x = 13,472.82

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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.