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Finding the Fourth Proportional to 17,620.80, 24,317 and 9,662.92

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Solution

The fourth proportional to 17,620.80, 24,317 and 9,662.92 is: 13,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,620.80 : 24,317 = 9,662.92 : x
  2. Step 2: Convert to fraction form
    17,620.80/24,317 = 9,662.92/x
  3. Step 3: Cross multiply
    17,620.80x = 24,317 × 9,662.92
  4. Step 4: Simplify right side
    17,620.80x = 234,973,225.64
  5. Step 5: Solve for x
    x = 234,973,225.64/17,620.80
  6. Step 6: Final answer
    x = 13,334.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.