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Finding the Fourth Proportional to 27,771.86, 38,324.23 and 15,839.06

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Solution

The fourth proportional to 27,771.86, 38,324.23 and 15,839.06 is: 21,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.86 : 38,324.23 = 15,839.06 : x
  2. Step 2: Convert to fraction form
    27,771.86/38,324.23 = 15,839.06/x
  3. Step 3: Cross multiply
    27,771.86x = 38,324.23 × 15,839.06
  4. Step 4: Simplify right side
    27,771.86x = 607,019,547.21
  5. Step 5: Solve for x
    x = 607,019,547.21/27,771.86
  6. Step 6: Final answer
    x = 21,857.36

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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.