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Finding the Fourth Proportional to 11,724, 17,585.80 and 2,958.85

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Solution

The fourth proportional to 11,724, 17,585.80 and 2,958.85 is: 4,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724 : 17,585.80 = 2,958.85 : x
  2. Step 2: Convert to fraction form
    11,724/17,585.80 = 2,958.85/x
  3. Step 3: Cross multiply
    11,724x = 17,585.80 × 2,958.85
  4. Step 4: Simplify right side
    11,724x = 52,033,744.33
  5. Step 5: Solve for x
    x = 52,033,744.33/11,724
  6. Step 6: Final answer
    x = 4,438.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.