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Finding the Fourth Proportional to 25,524.08, 38,271 and 9,923.48

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Solution

The fourth proportional to 25,524.08, 38,271 and 9,923.48 is: 14,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.08 : 38,271 = 9,923.48 : x
  2. Step 2: Convert to fraction form
    25,524.08/38,271 = 9,923.48/x
  3. Step 3: Cross multiply
    25,524.08x = 38,271 × 9,923.48
  4. Step 4: Simplify right side
    25,524.08x = 379,781,503.08
  5. Step 5: Solve for x
    x = 379,781,503.08/25,524.08
  6. Step 6: Final answer
    x = 14,879.34

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