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Finding the Fourth Proportional to 10,571.24, 15,816.54 and 9,586.28

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Solution

The fourth proportional to 10,571.24, 15,816.54 and 9,586.28 is: 14,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.24 : 15,816.54 = 9,586.28 : x
  2. Step 2: Convert to fraction form
    10,571.24/15,816.54 = 9,586.28/x
  3. Step 3: Cross multiply
    10,571.24x = 15,816.54 × 9,586.28
  4. Step 4: Simplify right side
    10,571.24x = 151,621,781.07
  5. Step 5: Solve for x
    x = 151,621,781.07/10,571.24
  6. Step 6: Final answer
    x = 14,342.86

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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.