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Finding the Fourth Proportional to 15,409.86, 23,119.42 and 6,520.62

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Solution

The fourth proportional to 15,409.86, 23,119.42 and 6,520.62 is: 9,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.86 : 23,119.42 = 6,520.62 : x
  2. Step 2: Convert to fraction form
    15,409.86/23,119.42 = 6,520.62/x
  3. Step 3: Cross multiply
    15,409.86x = 23,119.42 × 6,520.62
  4. Step 4: Simplify right side
    15,409.86x = 150,752,952.44
  5. Step 5: Solve for x
    x = 150,752,952.44/15,409.86
  6. Step 6: Final answer
    x = 9,782.89

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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.