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Finding the Fourth Proportional to 38,269.12, 57,418.40 and 14,912

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Solution

The fourth proportional to 38,269.12, 57,418.40 and 14,912 is: 22,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,269.12 : 57,418.40 = 14,912 : x
  2. Step 2: Convert to fraction form
    38,269.12/57,418.40 = 14,912/x
  3. Step 3: Cross multiply
    38,269.12x = 57,418.40 × 14,912
  4. Step 4: Simplify right side
    38,269.12x = 856,223,180.80
  5. Step 5: Solve for x
    x = 856,223,180.80/38,269.12
  6. Step 6: Final answer
    x = 22,373.74

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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.