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Finding the Fourth Proportional to 27,967.77, 38,597.24 and 16,032.90

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Solution

The fourth proportional to 27,967.77, 38,597.24 and 16,032.90 is: 22,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.77 : 38,597.24 = 16,032.90 : x
  2. Step 2: Convert to fraction form
    27,967.77/38,597.24 = 16,032.90/x
  3. Step 3: Cross multiply
    27,967.77x = 38,597.24 × 16,032.90
  4. Step 4: Simplify right side
    27,967.77x = 618,825,592.70
  5. Step 5: Solve for x
    x = 618,825,592.70/27,967.77
  6. Step 6: Final answer
    x = 22,126.39

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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.