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Finding the Fourth Proportional to 17,580.28, 24,231.82 and 12,477.56

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Solution

The fourth proportional to 17,580.28, 24,231.82 and 12,477.56 is: 17,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.28 : 24,231.82 = 12,477.56 : x
  2. Step 2: Convert to fraction form
    17,580.28/24,231.82 = 12,477.56/x
  3. Step 3: Cross multiply
    17,580.28x = 24,231.82 × 12,477.56
  4. Step 4: Simplify right side
    17,580.28x = 302,353,987.96
  5. Step 5: Solve for x
    x = 302,353,987.96/17,580.28
  6. Step 6: Final answer
    x = 17,198.47

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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.