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Finding the Fourth Proportional to 27,596.36, 38,083.70 and 15,661.49

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Solution

The fourth proportional to 27,596.36, 38,083.70 and 15,661.49 is: 21,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.36 : 38,083.70 = 15,661.49 : x
  2. Step 2: Convert to fraction form
    27,596.36/38,083.70 = 15,661.49/x
  3. Step 3: Cross multiply
    27,596.36x = 38,083.70 × 15,661.49
  4. Step 4: Simplify right side
    27,596.36x = 596,447,335.45
  5. Step 5: Solve for x
    x = 596,447,335.45/27,596.36
  6. Step 6: Final answer
    x = 21,613.26

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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.