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Finding the Fourth Proportional to 17,433.56, 24,058.20 and 9,983

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Solution

The fourth proportional to 17,433.56, 24,058.20 and 9,983 is: 13,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,433.56 : 24,058.20 = 9,983 : x
  2. Step 2: Convert to fraction form
    17,433.56/24,058.20 = 9,983/x
  3. Step 3: Cross multiply
    17,433.56x = 24,058.20 × 9,983
  4. Step 4: Simplify right side
    17,433.56x = 240,173,010.60
  5. Step 5: Solve for x
    x = 240,173,010.60/17,433.56
  6. Step 6: Final answer
    x = 13,776.48

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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.