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Finding the Fourth Proportional to 17,192.74, 23,724.74 and 10,118.20

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Solution

The fourth proportional to 17,192.74, 23,724.74 and 10,118.20 is: 13,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,192.74 : 23,724.74 = 10,118.20 : x
  2. Step 2: Convert to fraction form
    17,192.74/23,724.74 = 10,118.20/x
  3. Step 3: Cross multiply
    17,192.74x = 23,724.74 × 10,118.20
  4. Step 4: Simplify right side
    17,192.74x = 240,051,664.27
  5. Step 5: Solve for x
    x = 240,051,664.27/17,192.74
  6. Step 6: Final answer
    x = 13,962.39

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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.