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Finding the Fourth Proportional to 12,814.43, 19,215.86 and 5,415.08

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Solution

The fourth proportional to 12,814.43, 19,215.86 and 5,415.08 is: 8,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.43 : 19,215.86 = 5,415.08 : x
  2. Step 2: Convert to fraction form
    12,814.43/19,215.86 = 5,415.08/x
  3. Step 3: Cross multiply
    12,814.43x = 19,215.86 × 5,415.08
  4. Step 4: Simplify right side
    12,814.43x = 104,055,296.01
  5. Step 5: Solve for x
    x = 104,055,296.01/12,814.43
  6. Step 6: Final answer
    x = 8,120.17

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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.