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Finding the Fourth Proportional to 12,469.95, 18,715.86 and 5,074.38

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Solution

The fourth proportional to 12,469.95, 18,715.86 and 5,074.38 is: 7,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.95 : 18,715.86 = 5,074.38 : x
  2. Step 2: Convert to fraction form
    12,469.95/18,715.86 = 5,074.38/x
  3. Step 3: Cross multiply
    12,469.95x = 18,715.86 × 5,074.38
  4. Step 4: Simplify right side
    12,469.95x = 94,971,385.67
  5. Step 5: Solve for x
    x = 94,971,385.67/12,469.95
  6. Step 6: Final answer
    x = 7,616.02

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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.