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Finding the Fourth Proportional to 23,168.49, 31,970.93 and 13,097.31

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Solution

The fourth proportional to 23,168.49, 31,970.93 and 13,097.31 is: 18,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,168.49 : 31,970.93 = 13,097.31 : x
  2. Step 2: Convert to fraction form
    23,168.49/31,970.93 = 13,097.31/x
  3. Step 3: Cross multiply
    23,168.49x = 31,970.93 × 13,097.31
  4. Step 4: Simplify right side
    23,168.49x = 418,733,181.20
  5. Step 5: Solve for x
    x = 418,733,181.20/23,168.49
  6. Step 6: Final answer
    x = 18,073.39

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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.