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Finding the Fourth Proportional to 12,814.59, 19,229.19 and 10,233.93

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Solution

The fourth proportional to 12,814.59, 19,229.19 and 10,233.93 is: 15,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.59 : 19,229.19 = 10,233.93 : x
  2. Step 2: Convert to fraction form
    12,814.59/19,229.19 = 10,233.93/x
  3. Step 3: Cross multiply
    12,814.59x = 19,229.19 × 10,233.93
  4. Step 4: Simplify right side
    12,814.59x = 196,790,184.42
  5. Step 5: Solve for x
    x = 196,790,184.42/12,814.59
  6. Step 6: Final answer
    x = 15,356.73

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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.