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Finding the Fourth Proportional to 13,226.51, 19,832.24 and 10,223.48

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Solution

The fourth proportional to 13,226.51, 19,832.24 and 10,223.48 is: 15,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.51 : 19,832.24 = 10,223.48 : x
  2. Step 2: Convert to fraction form
    13,226.51/19,832.24 = 10,223.48/x
  3. Step 3: Cross multiply
    13,226.51x = 19,832.24 × 10,223.48
  4. Step 4: Simplify right side
    13,226.51x = 202,754,433.09
  5. Step 5: Solve for x
    x = 202,754,433.09/13,226.51
  6. Step 6: Final answer
    x = 15,329.40

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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.