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Finding the Fourth Proportional to 15,471.96, 23,209.92 and 4,938.54

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Solution

The fourth proportional to 15,471.96, 23,209.92 and 4,938.54 is: 7,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.96 : 23,209.92 = 4,938.54 : x
  2. Step 2: Convert to fraction form
    15,471.96/23,209.92 = 4,938.54/x
  3. Step 3: Cross multiply
    15,471.96x = 23,209.92 × 4,938.54
  4. Step 4: Simplify right side
    15,471.96x = 114,623,118.32
  5. Step 5: Solve for x
    x = 114,623,118.32/15,471.96
  6. Step 6: Final answer
    x = 7,408.44

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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.