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Finding the Fourth Proportional to 21,499.82, 32,216.85 and 9,013.04

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Solution

The fourth proportional to 21,499.82, 32,216.85 and 9,013.04 is: 13,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.82 : 32,216.85 = 9,013.04 : x
  2. Step 2: Convert to fraction form
    21,499.82/32,216.85 = 9,013.04/x
  3. Step 3: Cross multiply
    21,499.82x = 32,216.85 × 9,013.04
  4. Step 4: Simplify right side
    21,499.82x = 290,371,596.64
  5. Step 5: Solve for x
    x = 290,371,596.64/21,499.82
  6. Step 6: Final answer
    x = 13,505.77

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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.