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Finding the Fourth Proportional to 13,224.95, 19,844.39 and 5,834.51

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Solution

The fourth proportional to 13,224.95, 19,844.39 and 5,834.51 is: 8,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.95 : 19,844.39 = 5,834.51 : x
  2. Step 2: Convert to fraction form
    13,224.95/19,844.39 = 5,834.51/x
  3. Step 3: Cross multiply
    13,224.95x = 19,844.39 × 5,834.51
  4. Step 4: Simplify right side
    13,224.95x = 115,782,291.90
  5. Step 5: Solve for x
    x = 115,782,291.90/13,224.95
  6. Step 6: Final answer
    x = 8,754.84

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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.