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Finding the Fourth Proportional to 20,106.70, 27,774.30 and 15,449.20

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Solution

The fourth proportional to 20,106.70, 27,774.30 and 15,449.20 is: 21,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.70 : 27,774.30 = 15,449.20 : x
  2. Step 2: Convert to fraction form
    20,106.70/27,774.30 = 15,449.20/x
  3. Step 3: Cross multiply
    20,106.70x = 27,774.30 × 15,449.20
  4. Step 4: Simplify right side
    20,106.70x = 429,090,715.56
  5. Step 5: Solve for x
    x = 429,090,715.56/20,106.70
  6. Step 6: Final answer
    x = 21,340.68

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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.