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Finding the Fourth Proportional to 14,864.49, 22,273.02 and 7,844.22

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Solution

The fourth proportional to 14,864.49, 22,273.02 and 7,844.22 is: 11,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.49 : 22,273.02 = 7,844.22 : x
  2. Step 2: Convert to fraction form
    14,864.49/22,273.02 = 7,844.22/x
  3. Step 3: Cross multiply
    14,864.49x = 22,273.02 × 7,844.22
  4. Step 4: Simplify right side
    14,864.49x = 174,714,468.94
  5. Step 5: Solve for x
    x = 174,714,468.94/14,864.49
  6. Step 6: Final answer
    x = 11,753.82

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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.