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Finding the Fourth Proportional to 18,116.42, 27,178.72 and 6,429.64

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Solution

The fourth proportional to 18,116.42, 27,178.72 and 6,429.64 is: 9,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,116.42 : 27,178.72 = 6,429.64 : x
  2. Step 2: Convert to fraction form
    18,116.42/27,178.72 = 6,429.64/x
  3. Step 3: Cross multiply
    18,116.42x = 27,178.72 × 6,429.64
  4. Step 4: Simplify right side
    18,116.42x = 174,749,385.26
  5. Step 5: Solve for x
    x = 174,749,385.26/18,116.42
  6. Step 6: Final answer
    x = 9,645.91

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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.