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Finding the Fourth Proportional to 22,530.06, 31,093.38 and 13,098

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Solution

The fourth proportional to 22,530.06, 31,093.38 and 13,098 is: 18,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.06 : 31,093.38 = 13,098 : x
  2. Step 2: Convert to fraction form
    22,530.06/31,093.38 = 13,098/x
  3. Step 3: Cross multiply
    22,530.06x = 31,093.38 × 13,098
  4. Step 4: Simplify right side
    22,530.06x = 407,261,091.24
  5. Step 5: Solve for x
    x = 407,261,091.24/22,530.06
  6. Step 6: Final answer
    x = 18,076.34

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Why These Related Problems?

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