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Finding the Fourth Proportional to 23,316, 34,974.24 and 12,949.56

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Solution

The fourth proportional to 23,316, 34,974.24 and 12,949.56 is: 19,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,316 : 34,974.24 = 12,949.56 : x
  2. Step 2: Convert to fraction form
    23,316/34,974.24 = 12,949.56/x
  3. Step 3: Cross multiply
    23,316x = 34,974.24 × 12,949.56
  4. Step 4: Simplify right side
    23,316x = 452,901,019.33
  5. Step 5: Solve for x
    x = 452,901,019.33/23,316
  6. Step 6: Final answer
    x = 19,424.47

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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.