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Finding the Fourth Proportional to 12,358.15, 18,529.04 and 6,814.15

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Solution

The fourth proportional to 12,358.15, 18,529.04 and 6,814.15 is: 10,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.15 : 18,529.04 = 6,814.15 : x
  2. Step 2: Convert to fraction form
    12,358.15/18,529.04 = 6,814.15/x
  3. Step 3: Cross multiply
    12,358.15x = 18,529.04 × 6,814.15
  4. Step 4: Simplify right side
    12,358.15x = 126,259,623.85
  5. Step 5: Solve for x
    x = 126,259,623.85/12,358.15
  6. Step 6: Final answer
    x = 10,216.71

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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.