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Finding the Fourth Proportional to 19,778.38, 27,298.62 and 12,232.01

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Solution

The fourth proportional to 19,778.38, 27,298.62 and 12,232.01 is: 16,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.38 : 27,298.62 = 12,232.01 : x
  2. Step 2: Convert to fraction form
    19,778.38/27,298.62 = 12,232.01/x
  3. Step 3: Cross multiply
    19,778.38x = 27,298.62 × 12,232.01
  4. Step 4: Simplify right side
    19,778.38x = 333,917,061.07
  5. Step 5: Solve for x
    x = 333,917,061.07/19,778.38
  6. Step 6: Final answer
    x = 16,882.93

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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.