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Finding the Fourth Proportional to 16,032.96, 24,057.12 and 5,649.60

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Solution

The fourth proportional to 16,032.96, 24,057.12 and 5,649.60 is: 8,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.96 : 24,057.12 = 5,649.60 : x
  2. Step 2: Convert to fraction form
    16,032.96/24,057.12 = 5,649.60/x
  3. Step 3: Cross multiply
    16,032.96x = 24,057.12 × 5,649.60
  4. Step 4: Simplify right side
    16,032.96x = 135,913,105.15
  5. Step 5: Solve for x
    x = 135,913,105.15/16,032.96
  6. Step 6: Final answer
    x = 8,477.11

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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.