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Finding the Fourth Proportional to 21,007.30, 31,446.15 and 12,216.10

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Solution

The fourth proportional to 21,007.30, 31,446.15 and 12,216.10 is: 18,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.30 : 31,446.15 = 12,216.10 : x
  2. Step 2: Convert to fraction form
    21,007.30/31,446.15 = 12,216.10/x
  3. Step 3: Cross multiply
    21,007.30x = 31,446.15 × 12,216.10
  4. Step 4: Simplify right side
    21,007.30x = 384,149,313.02
  5. Step 5: Solve for x
    x = 384,149,313.02/21,007.30
  6. Step 6: Final answer
    x = 18,286.47

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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.