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Finding the Fourth Proportional to 19,969.66, 27,538.44 and 15,491.78

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Solution

The fourth proportional to 19,969.66, 27,538.44 and 15,491.78 is: 21,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.66 : 27,538.44 = 15,491.78 : x
  2. Step 2: Convert to fraction form
    19,969.66/27,538.44 = 15,491.78/x
  3. Step 3: Cross multiply
    19,969.66x = 27,538.44 × 15,491.78
  4. Step 4: Simplify right side
    19,969.66x = 426,619,316.33
  5. Step 5: Solve for x
    x = 426,619,316.33/19,969.66
  6. Step 6: Final answer
    x = 21,363.38

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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.