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Finding the Fourth Proportional to 17,193.16, 25,743.52 and 10,919.20

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Solution

The fourth proportional to 17,193.16, 25,743.52 and 10,919.20 is: 16,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,193.16 : 25,743.52 = 10,919.20 : x
  2. Step 2: Convert to fraction form
    17,193.16/25,743.52 = 10,919.20/x
  3. Step 3: Cross multiply
    17,193.16x = 25,743.52 × 10,919.20
  4. Step 4: Simplify right side
    17,193.16x = 281,098,643.58
  5. Step 5: Solve for x
    x = 281,098,643.58/17,193.16
  6. Step 6: Final answer
    x = 16,349.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.