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Finding the Fourth Proportional to 14,192.55, 21,292.31 and 4,832.48

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Solution

The fourth proportional to 14,192.55, 21,292.31 and 4,832.48 is: 7,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.55 : 21,292.31 = 4,832.48 : x
  2. Step 2: Convert to fraction form
    14,192.55/21,292.31 = 4,832.48/x
  3. Step 3: Cross multiply
    14,192.55x = 21,292.31 × 4,832.48
  4. Step 4: Simplify right side
    14,192.55x = 102,894,727.54
  5. Step 5: Solve for x
    x = 102,894,727.54/14,192.55
  6. Step 6: Final answer
    x = 7,249.91

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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.