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Finding the Fourth Proportional to 14,214.39, 21,321.59 and 7,978.78

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Solution

The fourth proportional to 14,214.39, 21,321.59 and 7,978.78 is: 11,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.39 : 21,321.59 = 7,978.78 : x
  2. Step 2: Convert to fraction form
    14,214.39/21,321.59 = 7,978.78/x
  3. Step 3: Cross multiply
    14,214.39x = 21,321.59 × 7,978.78
  4. Step 4: Simplify right side
    14,214.39x = 170,120,309.22
  5. Step 5: Solve for x
    x = 170,120,309.22/14,214.39
  6. Step 6: Final answer
    x = 11,968.17

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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.