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Finding the Fourth Proportional to 16,263.96, 24,404.14 and 6,410.30

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Solution

The fourth proportional to 16,263.96, 24,404.14 and 6,410.30 is: 9,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,263.96 : 24,404.14 = 6,410.30 : x
  2. Step 2: Convert to fraction form
    16,263.96/24,404.14 = 6,410.30/x
  3. Step 3: Cross multiply
    16,263.96x = 24,404.14 × 6,410.30
  4. Step 4: Simplify right side
    16,263.96x = 156,437,858.64
  5. Step 5: Solve for x
    x = 156,437,858.64/16,263.96
  6. Step 6: Final answer
    x = 9,618.68

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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.