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Finding the Fourth Proportional to 16,439.96, 24,635.27 and 9,858.92

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Solution

The fourth proportional to 16,439.96, 24,635.27 and 9,858.92 is: 14,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.96 : 24,635.27 = 9,858.92 : x
  2. Step 2: Convert to fraction form
    16,439.96/24,635.27 = 9,858.92/x
  3. Step 3: Cross multiply
    16,439.96x = 24,635.27 × 9,858.92
  4. Step 4: Simplify right side
    16,439.96x = 242,877,057.58
  5. Step 5: Solve for x
    x = 242,877,057.58/16,439.96
  6. Step 6: Final answer
    x = 14,773.58

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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.