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Finding the Fourth Proportional to 19,618, 27,073.11 and 11,234.50

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Solution

The fourth proportional to 19,618, 27,073.11 and 11,234.50 is: 15,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,618 : 27,073.11 = 11,234.50 : x
  2. Step 2: Convert to fraction form
    19,618/27,073.11 = 11,234.50/x
  3. Step 3: Cross multiply
    19,618x = 27,073.11 × 11,234.50
  4. Step 4: Simplify right side
    19,618x = 304,152,854.30
  5. Step 5: Solve for x
    x = 304,152,854.30/19,618
  6. Step 6: Final answer
    x = 15,503.76

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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.