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Finding the Fourth Proportional to 17,643.72, 24,348.35 and 9,577.37

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Solution

The fourth proportional to 17,643.72, 24,348.35 and 9,577.37 is: 13,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.72 : 24,348.35 = 9,577.37 : x
  2. Step 2: Convert to fraction form
    17,643.72/24,348.35 = 9,577.37/x
  3. Step 3: Cross multiply
    17,643.72x = 24,348.35 × 9,577.37
  4. Step 4: Simplify right side
    17,643.72x = 233,193,035.10
  5. Step 5: Solve for x
    x = 233,193,035.10/17,643.72
  6. Step 6: Final answer
    x = 13,216.78

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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.