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Finding the Fourth Proportional to 16,196.60, 24,295.50 and 5,664.56

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Solution

The fourth proportional to 16,196.60, 24,295.50 and 5,664.56 is: 8,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.60 : 24,295.50 = 5,664.56 : x
  2. Step 2: Convert to fraction form
    16,196.60/24,295.50 = 5,664.56/x
  3. Step 3: Cross multiply
    16,196.60x = 24,295.50 × 5,664.56
  4. Step 4: Simplify right side
    16,196.60x = 137,623,317.48
  5. Step 5: Solve for x
    x = 137,623,317.48/16,196.60
  6. Step 6: Final answer
    x = 8,497.05

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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.