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Finding the Fourth Proportional to 17,720.97, 24,455.57 and 9,763.80

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Solution

The fourth proportional to 17,720.97, 24,455.57 and 9,763.80 is: 13,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.97 : 24,455.57 = 9,763.80 : x
  2. Step 2: Convert to fraction form
    17,720.97/24,455.57 = 9,763.80/x
  3. Step 3: Cross multiply
    17,720.97x = 24,455.57 × 9,763.80
  4. Step 4: Simplify right side
    17,720.97x = 238,779,294.37
  5. Step 5: Solve for x
    x = 238,779,294.37/17,720.97
  6. Step 6: Final answer
    x = 13,474.39

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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.