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Finding the Fourth Proportional to 24,550.34, 36,805.51 and 11,410.98

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Solution

The fourth proportional to 24,550.34, 36,805.51 and 11,410.98 is: 17,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,550.34 : 36,805.51 = 11,410.98 : x
  2. Step 2: Convert to fraction form
    24,550.34/36,805.51 = 11,410.98/x
  3. Step 3: Cross multiply
    24,550.34x = 36,805.51 × 11,410.98
  4. Step 4: Simplify right side
    24,550.34x = 419,986,938.50
  5. Step 5: Solve for x
    x = 419,986,938.50/24,550.34
  6. Step 6: Final answer
    x = 17,107.17

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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.