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Finding the Fourth Proportional to 39,809.40, 59,714.10 and 16,439.16

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Solution

The fourth proportional to 39,809.40, 59,714.10 and 16,439.16 is: 24,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,809.40 : 59,714.10 = 16,439.16 : x
  2. Step 2: Convert to fraction form
    39,809.40/59,714.10 = 16,439.16/x
  3. Step 3: Cross multiply
    39,809.40x = 59,714.10 × 16,439.16
  4. Step 4: Simplify right side
    39,809.40x = 981,649,644.16
  5. Step 5: Solve for x
    x = 981,649,644.16/39,809.40
  6. Step 6: Final answer
    x = 24,658.74

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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.