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Finding the Fourth Proportional to 17,735.59, 24,475.41 and 9,777.70

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Solution

The fourth proportional to 17,735.59, 24,475.41 and 9,777.70 is: 13,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.59 : 24,475.41 = 9,777.70 : x
  2. Step 2: Convert to fraction form
    17,735.59/24,475.41 = 9,777.70/x
  3. Step 3: Cross multiply
    17,735.59x = 24,475.41 × 9,777.70
  4. Step 4: Simplify right side
    17,735.59x = 239,313,216.36
  5. Step 5: Solve for x
    x = 239,313,216.36/17,735.59
  6. Step 6: Final answer
    x = 13,493.39

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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.