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Finding the Fourth Proportional to 15,821.48, 23,724.06 and 9,249.56

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Solution

The fourth proportional to 15,821.48, 23,724.06 and 9,249.56 is: 13,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.48 : 23,724.06 = 9,249.56 : x
  2. Step 2: Convert to fraction form
    15,821.48/23,724.06 = 9,249.56/x
  3. Step 3: Cross multiply
    15,821.48x = 23,724.06 × 9,249.56
  4. Step 4: Simplify right side
    15,821.48x = 219,437,116.41
  5. Step 5: Solve for x
    x = 219,437,116.41/15,821.48
  6. Step 6: Final answer
    x = 13,869.57

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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.