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Finding the Fourth Proportional to 17,736.85, 24,477.03 and 9,778.87

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Solution

The fourth proportional to 17,736.85, 24,477.03 and 9,778.87 is: 13,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736.85 : 24,477.03 = 9,778.87 : x
  2. Step 2: Convert to fraction form
    17,736.85/24,477.03 = 9,778.87/x
  3. Step 3: Cross multiply
    17,736.85x = 24,477.03 × 9,778.87
  4. Step 4: Simplify right side
    17,736.85x = 239,357,694.36
  5. Step 5: Solve for x
    x = 239,357,694.36/17,736.85
  6. Step 6: Final answer
    x = 13,494.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.