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Finding the Fourth Proportional to 13,235.22, 18,259.38 and 8,522.24

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Solution

The fourth proportional to 13,235.22, 18,259.38 and 8,522.24 is: 11,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.22 : 18,259.38 = 8,522.24 : x
  2. Step 2: Convert to fraction form
    13,235.22/18,259.38 = 8,522.24/x
  3. Step 3: Cross multiply
    13,235.22x = 18,259.38 × 8,522.24
  4. Step 4: Simplify right side
    13,235.22x = 155,610,727.31
  5. Step 5: Solve for x
    x = 155,610,727.31/13,235.22
  6. Step 6: Final answer
    x = 11,757.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.