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Finding the Fourth Proportional to 20,186, 27,860.56 and 11,354

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Solution

The fourth proportional to 20,186, 27,860.56 and 11,354 is: 15,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186 : 27,860.56 = 11,354 : x
  2. Step 2: Convert to fraction form
    20,186/27,860.56 = 11,354/x
  3. Step 3: Cross multiply
    20,186x = 27,860.56 × 11,354
  4. Step 4: Simplify right side
    20,186x = 316,328,798.24
  5. Step 5: Solve for x
    x = 316,328,798.24/20,186
  6. Step 6: Final answer
    x = 15,670.70

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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.