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Finding the Fourth Proportional to 16,086.96, 24,124.16 and 5,411.16

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Solution

The fourth proportional to 16,086.96, 24,124.16 and 5,411.16 is: 8,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.96 : 24,124.16 = 5,411.16 : x
  2. Step 2: Convert to fraction form
    16,086.96/24,124.16 = 5,411.16/x
  3. Step 3: Cross multiply
    16,086.96x = 24,124.16 × 5,411.16
  4. Step 4: Simplify right side
    16,086.96x = 130,539,703.15
  5. Step 5: Solve for x
    x = 130,539,703.15/16,086.96
  6. Step 6: Final answer
    x = 8,114.63

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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.