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Finding the Fourth Proportional to 15,578.84, 23,372.72 and 7,683.72

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Solution

The fourth proportional to 15,578.84, 23,372.72 and 7,683.72 is: 11,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.84 : 23,372.72 = 7,683.72 : x
  2. Step 2: Convert to fraction form
    15,578.84/23,372.72 = 7,683.72/x
  3. Step 3: Cross multiply
    15,578.84x = 23,372.72 × 7,683.72
  4. Step 4: Simplify right side
    15,578.84x = 179,589,436.12
  5. Step 5: Solve for x
    x = 179,589,436.12/15,578.84
  6. Step 6: Final answer
    x = 11,527.78

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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.