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Finding the Fourth Proportional to 15,468.09, 23,205.90 and 4,938.11

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Solution

The fourth proportional to 15,468.09, 23,205.90 and 4,938.11 is: 7,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,468.09 : 23,205.90 = 4,938.11 : x
  2. Step 2: Convert to fraction form
    15,468.09/23,205.90 = 4,938.11/x
  3. Step 3: Cross multiply
    15,468.09x = 23,205.90 × 4,938.11
  4. Step 4: Simplify right side
    15,468.09x = 114,593,286.85
  5. Step 5: Solve for x
    x = 114,593,286.85/15,468.09
  6. Step 6: Final answer
    x = 7,408.37

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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.