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Finding the Fourth Proportional to 27,690.94, 38,212.16 and 15,753.16

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Solution

The fourth proportional to 27,690.94, 38,212.16 and 15,753.16 is: 21,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,690.94 : 38,212.16 = 15,753.16 : x
  2. Step 2: Convert to fraction form
    27,690.94/38,212.16 = 15,753.16/x
  3. Step 3: Cross multiply
    27,690.94x = 38,212.16 × 15,753.16
  4. Step 4: Simplify right side
    27,690.94x = 601,962,270.43
  5. Step 5: Solve for x
    x = 601,962,270.43/27,690.94
  6. Step 6: Final answer
    x = 21,738.60

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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.