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Finding the Fourth Proportional to 27,973.36, 38,603.20 and 15,398

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Solution

The fourth proportional to 27,973.36, 38,603.20 and 15,398 is: 21,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,973.36 : 38,603.20 = 15,398 : x
  2. Step 2: Convert to fraction form
    27,973.36/38,603.20 = 15,398/x
  3. Step 3: Cross multiply
    27,973.36x = 38,603.20 × 15,398
  4. Step 4: Simplify right side
    27,973.36x = 594,412,073.60
  5. Step 5: Solve for x
    x = 594,412,073.60/27,973.36
  6. Step 6: Final answer
    x = 21,249.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.