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Finding the Fourth Proportional to 12,814.00, 19,223.12 and 5,418.56

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Solution

The fourth proportional to 12,814.00, 19,223.12 and 5,418.56 is: 8,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.00 : 19,223.12 = 5,418.56 : x
  2. Step 2: Convert to fraction form
    12,814.00/19,223.12 = 5,418.56/x
  3. Step 3: Cross multiply
    12,814.00x = 19,223.12 × 5,418.56
  4. Step 4: Simplify right side
    12,814.00x = 104,161,690.71
  5. Step 5: Solve for x
    x = 104,161,690.71/12,814.00
  6. Step 6: Final answer
    x = 8,128.74

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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.