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Finding the Fourth Proportional to 19,780.38, 27,301.38 and 12,234.01

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Solution

The fourth proportional to 19,780.38, 27,301.38 and 12,234.01 is: 16,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.38 : 27,301.38 = 12,234.01 : x
  2. Step 2: Convert to fraction form
    19,780.38/27,301.38 = 12,234.01/x
  3. Step 3: Cross multiply
    19,780.38x = 27,301.38 × 12,234.01
  4. Step 4: Simplify right side
    19,780.38x = 334,005,355.93
  5. Step 5: Solve for x
    x = 334,005,355.93/19,780.38
  6. Step 6: Final answer
    x = 16,885.69

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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.