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Finding the Fourth Proportional to 27,776.16, 38,330.34 and 15,839.22

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Solution

The fourth proportional to 27,776.16, 38,330.34 and 15,839.22 is: 21,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.16 : 38,330.34 = 15,839.22 : x
  2. Step 2: Convert to fraction form
    27,776.16/38,330.34 = 15,839.22/x
  3. Step 3: Cross multiply
    27,776.16x = 38,330.34 × 15,839.22
  4. Step 4: Simplify right side
    27,776.16x = 607,122,687.93
  5. Step 5: Solve for x
    x = 607,122,687.93/27,776.16
  6. Step 6: Final answer
    x = 21,857.69

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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.