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Finding the Fourth Proportional to 19,876.65, 27,422.01 and 11,374.22

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Solution

The fourth proportional to 19,876.65, 27,422.01 and 11,374.22 is: 15,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.65 : 27,422.01 = 11,374.22 : x
  2. Step 2: Convert to fraction form
    19,876.65/27,422.01 = 11,374.22/x
  3. Step 3: Cross multiply
    19,876.65x = 27,422.01 × 11,374.22
  4. Step 4: Simplify right side
    19,876.65x = 311,903,837.47
  5. Step 5: Solve for x
    x = 311,903,837.47/19,876.65
  6. Step 6: Final answer
    x = 15,691.97

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1.5x scale

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.