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Finding the Fourth Proportional to 20,106.91, 27,729.36 and 12,553.93

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Solution

The fourth proportional to 20,106.91, 27,729.36 and 12,553.93 is: 17,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.91 : 27,729.36 = 12,553.93 : x
  2. Step 2: Convert to fraction form
    20,106.91/27,729.36 = 12,553.93/x
  3. Step 3: Cross multiply
    20,106.91x = 27,729.36 × 12,553.93
  4. Step 4: Simplify right side
    20,106.91x = 348,112,444.38
  5. Step 5: Solve for x
    x = 348,112,444.38/20,106.91
  6. Step 6: Final answer
    x = 17,313.08

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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.