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Finding the Fourth Proportional to 17,770.77, 24,522.75 and 9,813.69

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Solution

The fourth proportional to 17,770.77, 24,522.75 and 9,813.69 is: 13,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.77 : 24,522.75 = 9,813.69 : x
  2. Step 2: Convert to fraction form
    17,770.77/24,522.75 = 9,813.69/x
  3. Step 3: Cross multiply
    17,770.77x = 24,522.75 × 9,813.69
  4. Step 4: Simplify right side
    17,770.77x = 240,658,666.45
  5. Step 5: Solve for x
    x = 240,658,666.45/17,770.77
  6. Step 6: Final answer
    x = 13,542.39

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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.