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Finding the Fourth Proportional to 16,039.64, 24,054.60 and 6,178.16

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Solution

The fourth proportional to 16,039.64, 24,054.60 and 6,178.16 is: 9,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039.64 : 24,054.60 = 6,178.16 : x
  2. Step 2: Convert to fraction form
    16,039.64/24,054.60 = 6,178.16/x
  3. Step 3: Cross multiply
    16,039.64x = 24,054.60 × 6,178.16
  4. Step 4: Simplify right side
    16,039.64x = 148,613,167.54
  5. Step 5: Solve for x
    x = 148,613,167.54/16,039.64
  6. Step 6: Final answer
    x = 9,265.37

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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.