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Finding the Fourth Proportional to 23,947, 35,919.66 and 7,306.36

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Solution

The fourth proportional to 23,947, 35,919.66 and 7,306.36 is: 10,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,947 : 35,919.66 = 7,306.36 : x
  2. Step 2: Convert to fraction form
    23,947/35,919.66 = 7,306.36/x
  3. Step 3: Cross multiply
    23,947x = 35,919.66 × 7,306.36
  4. Step 4: Simplify right side
    23,947x = 262,441,967.04
  5. Step 5: Solve for x
    x = 262,441,967.04/23,947
  6. Step 6: Final answer
    x = 10,959.28

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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.