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Finding the Fourth Proportional to 16,084.96, 24,135.12 and 5,701.60

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Solution

The fourth proportional to 16,084.96, 24,135.12 and 5,701.60 is: 8,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.96 : 24,135.12 = 5,701.60 : x
  2. Step 2: Convert to fraction form
    16,084.96/24,135.12 = 5,701.60/x
  3. Step 3: Cross multiply
    16,084.96x = 24,135.12 × 5,701.60
  4. Step 4: Simplify right side
    16,084.96x = 137,608,800.19
  5. Step 5: Solve for x
    x = 137,608,800.19/16,084.96
  6. Step 6: Final answer
    x = 8,555.12

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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.