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Finding the Fourth Proportional to 13,022.96, 17,962.38 and 8,477.24

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Solution

The fourth proportional to 13,022.96, 17,962.38 and 8,477.24 is: 11,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.96 : 17,962.38 = 8,477.24 : x
  2. Step 2: Convert to fraction form
    13,022.96/17,962.38 = 8,477.24/x
  3. Step 3: Cross multiply
    13,022.96x = 17,962.38 × 8,477.24
  4. Step 4: Simplify right side
    13,022.96x = 152,271,406.23
  5. Step 5: Solve for x
    x = 152,271,406.23/13,022.96
  6. Step 6: Final answer
    x = 11,692.53

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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.