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Finding the Fourth Proportional to 22,951.24, 34,429.02 and 9,097

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Solution

The fourth proportional to 22,951.24, 34,429.02 and 9,097 is: 13,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.24 : 34,429.02 = 9,097 : x
  2. Step 2: Convert to fraction form
    22,951.24/34,429.02 = 9,097/x
  3. Step 3: Cross multiply
    22,951.24x = 34,429.02 × 9,097
  4. Step 4: Simplify right side
    22,951.24x = 313,200,794.94
  5. Step 5: Solve for x
    x = 313,200,794.94/22,951.24
  6. Step 6: Final answer
    x = 13,646.36

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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.