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Finding the Fourth Proportional to 15,916.56, 23,874.78 and 4,824.14

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Solution

The fourth proportional to 15,916.56, 23,874.78 and 4,824.14 is: 7,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.56 : 23,874.78 = 4,824.14 : x
  2. Step 2: Convert to fraction form
    15,916.56/23,874.78 = 4,824.14/x
  3. Step 3: Cross multiply
    15,916.56x = 23,874.78 × 4,824.14
  4. Step 4: Simplify right side
    15,916.56x = 115,175,273.50
  5. Step 5: Solve for x
    x = 115,175,273.50/15,916.56
  6. Step 6: Final answer
    x = 7,236.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.