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Finding the Fourth Proportional to 23,919.64, 35,879.54 and 11,599

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Solution

The fourth proportional to 23,919.64, 35,879.54 and 11,599 is: 17,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,919.64 : 35,879.54 = 11,599 : x
  2. Step 2: Convert to fraction form
    23,919.64/35,879.54 = 11,599/x
  3. Step 3: Cross multiply
    23,919.64x = 35,879.54 × 11,599
  4. Step 4: Simplify right side
    23,919.64x = 416,166,784.46
  5. Step 5: Solve for x
    x = 416,166,784.46/23,919.64
  6. Step 6: Final answer
    x = 17,398.54

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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.