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Finding the Fourth Proportional to 15,447.69, 23,155.95 and 6,084.09

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Solution

The fourth proportional to 15,447.69, 23,155.95 and 6,084.09 is: 9,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447.69 : 23,155.95 = 6,084.09 : x
  2. Step 2: Convert to fraction form
    15,447.69/23,155.95 = 6,084.09/x
  3. Step 3: Cross multiply
    15,447.69x = 23,155.95 × 6,084.09
  4. Step 4: Simplify right side
    15,447.69x = 140,882,785.59
  5. Step 5: Solve for x
    x = 140,882,785.59/15,447.69
  6. Step 6: Final answer
    x = 9,119.99

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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.