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Finding the Fourth Proportional to 15,486.36, 23,209.02 and 8,097

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Solution

The fourth proportional to 15,486.36, 23,209.02 and 8,097 is: 12,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486.36 : 23,209.02 = 8,097 : x
  2. Step 2: Convert to fraction form
    15,486.36/23,209.02 = 8,097/x
  3. Step 3: Cross multiply
    15,486.36x = 23,209.02 × 8,097
  4. Step 4: Simplify right side
    15,486.36x = 187,923,434.94
  5. Step 5: Solve for x
    x = 187,923,434.94/15,486.36
  6. Step 6: Final answer
    x = 12,134.77

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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.