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Finding the Fourth Proportional to 27,897.60, 38,505.32 and 15,967.82

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Solution

The fourth proportional to 27,897.60, 38,505.32 and 15,967.82 is: 22,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.60 : 38,505.32 = 15,967.82 : x
  2. Step 2: Convert to fraction form
    27,897.60/38,505.32 = 15,967.82/x
  3. Step 3: Cross multiply
    27,897.60x = 38,505.32 × 15,967.82
  4. Step 4: Simplify right side
    27,897.60x = 614,846,018.80
  5. Step 5: Solve for x
    x = 614,846,018.80/27,897.60
  6. Step 6: Final answer
    x = 22,039.39

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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.