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Finding the Fourth Proportional to 22,644.10, 31,253.29 and 14,462.45

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Solution

The fourth proportional to 22,644.10, 31,253.29 and 14,462.45 is: 19,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.10 : 31,253.29 = 14,462.45 : x
  2. Step 2: Convert to fraction form
    22,644.10/31,253.29 = 14,462.45/x
  3. Step 3: Cross multiply
    22,644.10x = 31,253.29 × 14,462.45
  4. Step 4: Simplify right side
    22,644.10x = 451,998,951.54
  5. Step 5: Solve for x
    x = 451,998,951.54/22,644.10
  6. Step 6: Final answer
    x = 19,961.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.