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Finding the Fourth Proportional to 12,134.42, 18,206.01 and 4,238.10

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Solution

The fourth proportional to 12,134.42, 18,206.01 and 4,238.10 is: 6,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.42 : 18,206.01 = 4,238.10 : x
  2. Step 2: Convert to fraction form
    12,134.42/18,206.01 = 4,238.10/x
  3. Step 3: Cross multiply
    12,134.42x = 18,206.01 × 4,238.10
  4. Step 4: Simplify right side
    12,134.42x = 77,158,890.98
  5. Step 5: Solve for x
    x = 77,158,890.98/12,134.42
  6. Step 6: Final answer
    x = 6,358.68

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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.