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Finding the Fourth Proportional to 16,032, 22,092 and 15,970.56

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Solution

The fourth proportional to 16,032, 22,092 and 15,970.56 is: 22,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032 : 22,092 = 15,970.56 : x
  2. Step 2: Convert to fraction form
    16,032/22,092 = 15,970.56/x
  3. Step 3: Cross multiply
    16,032x = 22,092 × 15,970.56
  4. Step 4: Simplify right side
    16,032x = 352,821,611.52
  5. Step 5: Solve for x
    x = 352,821,611.52/16,032
  6. Step 6: Final answer
    x = 22,007.34

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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.