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Finding the Fourth Proportional to 14,489.24, 21,741.55 and 5,724.23

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Solution

The fourth proportional to 14,489.24, 21,741.55 and 5,724.23 is: 8,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.24 : 21,741.55 = 5,724.23 : x
  2. Step 2: Convert to fraction form
    14,489.24/21,741.55 = 5,724.23/x
  3. Step 3: Cross multiply
    14,489.24x = 21,741.55 × 5,724.23
  4. Step 4: Simplify right side
    14,489.24x = 124,453,509.74
  5. Step 5: Solve for x
    x = 124,453,509.74/14,489.24
  6. Step 6: Final answer
    x = 8,589.38

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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.