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Finding the Fourth Proportional to 14,652.27, 21,986.28 and 9,724.23

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Solution

The fourth proportional to 14,652.27, 21,986.28 and 9,724.23 is: 14,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.27 : 21,986.28 = 9,724.23 : x
  2. Step 2: Convert to fraction form
    14,652.27/21,986.28 = 9,724.23/x
  3. Step 3: Cross multiply
    14,652.27x = 21,986.28 × 9,724.23
  4. Step 4: Simplify right side
    14,652.27x = 213,799,643.56
  5. Step 5: Solve for x
    x = 213,799,643.56/14,652.27
  6. Step 6: Final answer
    x = 14,591.57

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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.