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Finding the Fourth Proportional to 23,798.14, 35,697.48 and 11,319.36

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Solution

The fourth proportional to 23,798.14, 35,697.48 and 11,319.36 is: 16,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.14 : 35,697.48 = 11,319.36 : x
  2. Step 2: Convert to fraction form
    23,798.14/35,697.48 = 11,319.36/x
  3. Step 3: Cross multiply
    23,798.14x = 35,697.48 × 11,319.36
  4. Step 4: Simplify right side
    23,798.14x = 404,072,627.21
  5. Step 5: Solve for x
    x = 404,072,627.21/23,798.14
  6. Step 6: Final answer
    x = 16,979.17

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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.