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Finding the Fourth Proportional to 19,523.16, 29,301.12 and 8,438.31

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Solution

The fourth proportional to 19,523.16, 29,301.12 and 8,438.31 is: 12,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523.16 : 29,301.12 = 8,438.31 : x
  2. Step 2: Convert to fraction form
    19,523.16/29,301.12 = 8,438.31/x
  3. Step 3: Cross multiply
    19,523.16x = 29,301.12 × 8,438.31
  4. Step 4: Simplify right side
    19,523.16x = 247,251,933.91
  5. Step 5: Solve for x
    x = 247,251,933.91/19,523.16
  6. Step 6: Final answer
    x = 12,664.54

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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.