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Finding the Fourth Proportional to 17,041.50, 25,577.76 and 8,727.24

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Solution

The fourth proportional to 17,041.50, 25,577.76 and 8,727.24 is: 13,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,041.50 : 25,577.76 = 8,727.24 : x
  2. Step 2: Convert to fraction form
    17,041.50/25,577.76 = 8,727.24/x
  3. Step 3: Cross multiply
    17,041.50x = 25,577.76 × 8,727.24
  4. Step 4: Simplify right side
    17,041.50x = 223,223,250.18
  5. Step 5: Solve for x
    x = 223,223,250.18/17,041.50
  6. Step 6: Final answer
    x = 13,098.80

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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.