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Finding the Fourth Proportional to 16,381.82, 22,605.34 and 9,577.44

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Solution

The fourth proportional to 16,381.82, 22,605.34 and 9,577.44 is: 13,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.82 : 22,605.34 = 9,577.44 : x
  2. Step 2: Convert to fraction form
    16,381.82/22,605.34 = 9,577.44/x
  3. Step 3: Cross multiply
    16,381.82x = 22,605.34 × 9,577.44
  4. Step 4: Simplify right side
    16,381.82x = 216,501,126.62
  5. Step 5: Solve for x
    x = 216,501,126.62/16,381.82
  6. Step 6: Final answer
    x = 13,215.94

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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.