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Finding the Fourth Proportional to 27,989.86, 38,626.50 and 15,414.58

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Solution

The fourth proportional to 27,989.86, 38,626.50 and 15,414.58 is: 21,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989.86 : 38,626.50 = 15,414.58 : x
  2. Step 2: Convert to fraction form
    27,989.86/38,626.50 = 15,414.58/x
  3. Step 3: Cross multiply
    27,989.86x = 38,626.50 × 15,414.58
  4. Step 4: Simplify right side
    27,989.86x = 595,411,274.37
  5. Step 5: Solve for x
    x = 595,411,274.37/27,989.86
  6. Step 6: Final answer
    x = 21,272.39

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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.