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Finding the Fourth Proportional to 17,577.71, 24,257.38 and 10,861.80

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Solution

The fourth proportional to 17,577.71, 24,257.38 and 10,861.80 is: 14,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.71 : 24,257.38 = 10,861.80 : x
  2. Step 2: Convert to fraction form
    17,577.71/24,257.38 = 10,861.80/x
  3. Step 3: Cross multiply
    17,577.71x = 24,257.38 × 10,861.80
  4. Step 4: Simplify right side
    17,577.71x = 263,478,810.08
  5. Step 5: Solve for x
    x = 263,478,810.08/17,577.71
  6. Step 6: Final answer
    x = 14,989.37

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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.