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Finding the Fourth Proportional to 38,616.29, 57,914.71 and 12,307.49

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Solution

The fourth proportional to 38,616.29, 57,914.71 and 12,307.49 is: 18,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,616.29 : 57,914.71 = 12,307.49 : x
  2. Step 2: Convert to fraction form
    38,616.29/57,914.71 = 12,307.49/x
  3. Step 3: Cross multiply
    38,616.29x = 57,914.71 × 12,307.49
  4. Step 4: Simplify right side
    38,616.29x = 712,784,611.02
  5. Step 5: Solve for x
    x = 712,784,611.02/38,616.29
  6. Step 6: Final answer
    x = 18,458.13

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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.