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Finding the Fourth Proportional to 17,193.60, 23,728.55 and 10,121.40

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Solution

The fourth proportional to 17,193.60, 23,728.55 and 10,121.40 is: 13,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,193.60 : 23,728.55 = 10,121.40 : x
  2. Step 2: Convert to fraction form
    17,193.60/23,728.55 = 10,121.40/x
  3. Step 3: Cross multiply
    17,193.60x = 23,728.55 × 10,121.40
  4. Step 4: Simplify right side
    17,193.60x = 240,166,095.36
  5. Step 5: Solve for x
    x = 240,166,095.36/17,193.60
  6. Step 6: Final answer
    x = 13,968.34

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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.