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Finding the Fourth Proportional to 17,537.30, 24,200.34 and 9,577.88

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Solution

The fourth proportional to 17,537.30, 24,200.34 and 9,577.88 is: 13,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.30 : 24,200.34 = 9,577.88 : x
  2. Step 2: Convert to fraction form
    17,537.30/24,200.34 = 9,577.88/x
  3. Step 3: Cross multiply
    17,537.30x = 24,200.34 × 9,577.88
  4. Step 4: Simplify right side
    17,537.30x = 231,787,952.48
  5. Step 5: Solve for x
    x = 231,787,952.48/17,537.30
  6. Step 6: Final answer
    x = 13,216.86

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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.