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Finding the Fourth Proportional to 19,818.38, 27,349.36 and 11,434.88

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Solution

The fourth proportional to 19,818.38, 27,349.36 and 11,434.88 is: 15,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818.38 : 27,349.36 = 11,434.88 : x
  2. Step 2: Convert to fraction form
    19,818.38/27,349.36 = 11,434.88/x
  3. Step 3: Cross multiply
    19,818.38x = 27,349.36 × 11,434.88
  4. Step 4: Simplify right side
    19,818.38x = 312,736,649.68
  5. Step 5: Solve for x
    x = 312,736,649.68/19,818.38
  6. Step 6: Final answer
    x = 15,780.13

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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.