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Finding the Fourth Proportional to 16,114.40, 24,170.08 and 5,725.60

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Solution

The fourth proportional to 16,114.40, 24,170.08 and 5,725.60 is: 8,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.40 : 24,170.08 = 5,725.60 : x
  2. Step 2: Convert to fraction form
    16,114.40/24,170.08 = 5,725.60/x
  3. Step 3: Cross multiply
    16,114.40x = 24,170.08 × 5,725.60
  4. Step 4: Simplify right side
    16,114.40x = 138,388,210.05
  5. Step 5: Solve for x
    x = 138,388,210.05/16,114.40
  6. Step 6: Final answer
    x = 8,587.86

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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.