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Finding the Fourth Proportional to 24,402.80, 36,577.20 and 9,606.80

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Solution

The fourth proportional to 24,402.80, 36,577.20 and 9,606.80 is: 14,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402.80 : 36,577.20 = 9,606.80 : x
  2. Step 2: Convert to fraction form
    24,402.80/36,577.20 = 9,606.80/x
  3. Step 3: Cross multiply
    24,402.80x = 36,577.20 × 9,606.80
  4. Step 4: Simplify right side
    24,402.80x = 351,389,844.96
  5. Step 5: Solve for x
    x = 351,389,844.96/24,402.80
  6. Step 6: Final answer
    x = 14,399.57

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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.