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Finding the Fourth Proportional to 16,115.66, 24,144.89 and 6,735

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Solution

The fourth proportional to 16,115.66, 24,144.89 and 6,735 is: 10,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,115.66 : 24,144.89 = 6,735 : x
  2. Step 2: Convert to fraction form
    16,115.66/24,144.89 = 6,735/x
  3. Step 3: Cross multiply
    16,115.66x = 24,144.89 × 6,735
  4. Step 4: Simplify right side
    16,115.66x = 162,615,800.48
  5. Step 5: Solve for x
    x = 162,615,800.48/16,115.66
  6. Step 6: Final answer
    x = 10,090.55

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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.