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Finding the Fourth Proportional to 21,477.66, 32,217.45 and 5,895.42

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Solution

The fourth proportional to 21,477.66, 32,217.45 and 5,895.42 is: 8,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.66 : 32,217.45 = 5,895.42 : x
  2. Step 2: Convert to fraction form
    21,477.66/32,217.45 = 5,895.42/x
  3. Step 3: Cross multiply
    21,477.66x = 32,217.45 × 5,895.42
  4. Step 4: Simplify right side
    21,477.66x = 189,935,399.08
  5. Step 5: Solve for x
    x = 189,935,399.08/21,477.66
  6. Step 6: Final answer
    x = 8,843.39

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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.