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Finding the Fourth Proportional to 16,404.98, 24,609.89 and 6,407.75

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Solution

The fourth proportional to 16,404.98, 24,609.89 and 6,407.75 is: 9,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.98 : 24,609.89 = 6,407.75 : x
  2. Step 2: Convert to fraction form
    16,404.98/24,609.89 = 6,407.75/x
  3. Step 3: Cross multiply
    16,404.98x = 24,609.89 × 6,407.75
  4. Step 4: Simplify right side
    16,404.98x = 157,694,100.19
  5. Step 5: Solve for x
    x = 157,694,100.19/16,404.98
  6. Step 6: Final answer
    x = 9,612.58

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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.