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Finding the Fourth Proportional to 17,027.84, 23,498.88 and 9,577.60

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Solution

The fourth proportional to 17,027.84, 23,498.88 and 9,577.60 is: 13,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,027.84 : 23,498.88 = 9,577.60 : x
  2. Step 2: Convert to fraction form
    17,027.84/23,498.88 = 9,577.60/x
  3. Step 3: Cross multiply
    17,027.84x = 23,498.88 × 9,577.60
  4. Step 4: Simplify right side
    17,027.84x = 225,062,873.09
  5. Step 5: Solve for x
    x = 225,062,873.09/17,027.84
  6. Step 6: Final answer
    x = 13,217.35

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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.