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Finding the Fourth Proportional to 23,096.84, 31,881.83 and 13,665.38

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Solution

The fourth proportional to 23,096.84, 31,881.83 and 13,665.38 is: 18,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.84 : 31,881.83 = 13,665.38 : x
  2. Step 2: Convert to fraction form
    23,096.84/31,881.83 = 13,665.38/x
  3. Step 3: Cross multiply
    23,096.84x = 31,881.83 × 13,665.38
  4. Step 4: Simplify right side
    23,096.84x = 435,677,094.31
  5. Step 5: Solve for x
    x = 435,677,094.31/23,096.84
  6. Step 6: Final answer
    x = 18,863.06

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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.