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Finding the Fourth Proportional to 11,924.16, 17,798.75 and 11,044.50

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Solution

The fourth proportional to 11,924.16, 17,798.75 and 11,044.50 is: 16,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.16 : 17,798.75 = 11,044.50 : x
  2. Step 2: Convert to fraction form
    11,924.16/17,798.75 = 11,044.50/x
  3. Step 3: Cross multiply
    11,924.16x = 17,798.75 × 11,044.50
  4. Step 4: Simplify right side
    11,924.16x = 196,578,239.15
  5. Step 5: Solve for x
    x = 196,578,239.15/11,924.16
  6. Step 6: Final answer
    x = 16,485.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.