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Finding the Fourth Proportional to 14,092, 19,442.56 and 8,122.86

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Solution

The fourth proportional to 14,092, 19,442.56 and 8,122.86 is: 11,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092 : 19,442.56 = 8,122.86 : x
  2. Step 2: Convert to fraction form
    14,092/19,442.56 = 8,122.86/x
  3. Step 3: Cross multiply
    14,092x = 19,442.56 × 8,122.86
  4. Step 4: Simplify right side
    14,092x = 157,929,192.92
  5. Step 5: Solve for x
    x = 157,929,192.92/14,092
  6. Step 6: Final answer
    x = 11,207.01

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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.