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Finding the Fourth Proportional to 15,930.70, 23,895.36 and 4,837.14

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Solution

The fourth proportional to 15,930.70, 23,895.36 and 4,837.14 is: 7,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.70 : 23,895.36 = 4,837.14 : x
  2. Step 2: Convert to fraction form
    15,930.70/23,895.36 = 4,837.14/x
  3. Step 3: Cross multiply
    15,930.70x = 23,895.36 × 4,837.14
  4. Step 4: Simplify right side
    15,930.70x = 115,585,201.67
  5. Step 5: Solve for x
    x = 115,585,201.67/15,930.70
  6. Step 6: Final answer
    x = 7,255.50

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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.