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Finding the Fourth Proportional to 36,193.36, 54,295.92 and 12,814.72

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Solution

The fourth proportional to 36,193.36, 54,295.92 and 12,814.72 is: 19,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,193.36 : 54,295.92 = 12,814.72 : x
  2. Step 2: Convert to fraction form
    36,193.36/54,295.92 = 12,814.72/x
  3. Step 3: Cross multiply
    36,193.36x = 54,295.92 × 12,814.72
  4. Step 4: Simplify right side
    36,193.36x = 695,787,011.94
  5. Step 5: Solve for x
    x = 695,787,011.94/36,193.36
  6. Step 6: Final answer
    x = 19,224.16

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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.