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Finding the Fourth Proportional to 15,462.75, 23,195.94 and 4,929.10

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Solution

The fourth proportional to 15,462.75, 23,195.94 and 4,929.10 is: 7,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462.75 : 23,195.94 = 4,929.10 : x
  2. Step 2: Convert to fraction form
    15,462.75/23,195.94 = 4,929.10/x
  3. Step 3: Cross multiply
    15,462.75x = 23,195.94 × 4,929.10
  4. Step 4: Simplify right side
    15,462.75x = 114,335,107.85
  5. Step 5: Solve for x
    x = 114,335,107.85/15,462.75
  6. Step 6: Final answer
    x = 7,394.23

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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.