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Finding the Fourth Proportional to 27,846.86, 38,433.71 and 17,778.43

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Solution

The fourth proportional to 27,846.86, 38,433.71 and 17,778.43 is: 24,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.86 : 38,433.71 = 17,778.43 : x
  2. Step 2: Convert to fraction form
    27,846.86/38,433.71 = 17,778.43/x
  3. Step 3: Cross multiply
    27,846.86x = 38,433.71 × 17,778.43
  4. Step 4: Simplify right side
    27,846.86x = 683,291,022.88
  5. Step 5: Solve for x
    x = 683,291,022.88/27,846.86
  6. Step 6: Final answer
    x = 24,537.45

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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.