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Finding the Fourth Proportional to 19,644.65, 27,041.15 and 17,122.38

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Solution

The fourth proportional to 19,644.65, 27,041.15 and 17,122.38 is: 23,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.65 : 27,041.15 = 17,122.38 : x
  2. Step 2: Convert to fraction form
    19,644.65/27,041.15 = 17,122.38/x
  3. Step 3: Cross multiply
    19,644.65x = 27,041.15 × 17,122.38
  4. Step 4: Simplify right side
    19,644.65x = 463,008,845.94
  5. Step 5: Solve for x
    x = 463,008,845.94/19,644.65
  6. Step 6: Final answer
    x = 23,569.21

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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.