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Finding the Fourth Proportional to 17,457, 26,193.90 and 8,692.68

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Solution

The fourth proportional to 17,457, 26,193.90 and 8,692.68 is: 13,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457 : 26,193.90 = 8,692.68 : x
  2. Step 2: Convert to fraction form
    17,457/26,193.90 = 8,692.68/x
  3. Step 3: Cross multiply
    17,457x = 26,193.90 × 8,692.68
  4. Step 4: Simplify right side
    17,457x = 227,695,190.65
  5. Step 5: Solve for x
    x = 227,695,190.65/17,457
  6. Step 6: Final answer
    x = 13,043.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.