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Finding the Fourth Proportional to 14,147.76, 21,214.36 and 5,826.23

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Solution

The fourth proportional to 14,147.76, 21,214.36 and 5,826.23 is: 8,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.76 : 21,214.36 = 5,826.23 : x
  2. Step 2: Convert to fraction form
    14,147.76/21,214.36 = 5,826.23/x
  3. Step 3: Cross multiply
    14,147.76x = 21,214.36 × 5,826.23
  4. Step 4: Simplify right side
    14,147.76x = 123,599,688.66
  5. Step 5: Solve for x
    x = 123,599,688.66/14,147.76
  6. Step 6: Final answer
    x = 8,736.34

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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.