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Finding the Fourth Proportional to 19,918.14, 27,490.23 and 11,537.34

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Solution

The fourth proportional to 19,918.14, 27,490.23 and 11,537.34 is: 15,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,918.14 : 27,490.23 = 11,537.34 : x
  2. Step 2: Convert to fraction form
    19,918.14/27,490.23 = 11,537.34/x
  3. Step 3: Cross multiply
    19,918.14x = 27,490.23 × 11,537.34
  4. Step 4: Simplify right side
    19,918.14x = 317,164,130.19
  5. Step 5: Solve for x
    x = 317,164,130.19/19,918.14
  6. Step 6: Final answer
    x = 15,923.38

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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.