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Finding the Fourth Proportional to 21,932.36, 32,911.08 and 9,281.12

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Solution

The fourth proportional to 21,932.36, 32,911.08 and 9,281.12 is: 13,926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.36 : 32,911.08 = 9,281.12 : x
  2. Step 2: Convert to fraction form
    21,932.36/32,911.08 = 9,281.12/x
  3. Step 3: Cross multiply
    21,932.36x = 32,911.08 × 9,281.12
  4. Step 4: Simplify right side
    21,932.36x = 305,451,682.81
  5. Step 5: Solve for x
    x = 305,451,682.81/21,932.36
  6. Step 6: Final answer
    x = 13,926.99

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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.