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Finding the Fourth Proportional to 27,923.36, 38,537.36 and 15,988

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Solution

The fourth proportional to 27,923.36, 38,537.36 and 15,988 is: 22,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,923.36 : 38,537.36 = 15,988 : x
  2. Step 2: Convert to fraction form
    27,923.36/38,537.36 = 15,988/x
  3. Step 3: Cross multiply
    27,923.36x = 38,537.36 × 15,988
  4. Step 4: Simplify right side
    27,923.36x = 616,135,311.68
  5. Step 5: Solve for x
    x = 616,135,311.68/27,923.36
  6. Step 6: Final answer
    x = 22,065.23

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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.