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Finding the Fourth Proportional to 19,644.10, 27,109.55 and 11,146.25

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Solution

The fourth proportional to 19,644.10, 27,109.55 and 11,146.25 is: 15,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.10 : 27,109.55 = 11,146.25 : x
  2. Step 2: Convert to fraction form
    19,644.10/27,109.55 = 11,146.25/x
  3. Step 3: Cross multiply
    19,644.10x = 27,109.55 × 11,146.25
  4. Step 4: Simplify right side
    19,644.10x = 302,169,821.69
  5. Step 5: Solve for x
    x = 302,169,821.69/19,644.10
  6. Step 6: Final answer
    x = 15,382.22

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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.