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Finding the Fourth Proportional to 21,769.82, 32,646.82 and 9,291.17

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Solution

The fourth proportional to 21,769.82, 32,646.82 and 9,291.17 is: 13,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,769.82 : 32,646.82 = 9,291.17 : x
  2. Step 2: Convert to fraction form
    21,769.82/32,646.82 = 9,291.17/x
  3. Step 3: Cross multiply
    21,769.82x = 32,646.82 × 9,291.17
  4. Step 4: Simplify right side
    21,769.82x = 303,327,154.58
  5. Step 5: Solve for x
    x = 303,327,154.58/21,769.82
  6. Step 6: Final answer
    x = 13,933.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.