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Finding the Fourth Proportional to 16,074.64, 24,111.78 and 5,683.96

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Solution

The fourth proportional to 16,074.64, 24,111.78 and 5,683.96 is: 8,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.64 : 24,111.78 = 5,683.96 : x
  2. Step 2: Convert to fraction form
    16,074.64/24,111.78 = 5,683.96/x
  3. Step 3: Cross multiply
    16,074.64x = 24,111.78 × 5,683.96
  4. Step 4: Simplify right side
    16,074.64x = 137,050,393.05
  5. Step 5: Solve for x
    x = 137,050,393.05/16,074.64
  6. Step 6: Final answer
    x = 8,525.88

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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.