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Finding the Fourth Proportional to 27,277.85, 37,642.78 and 17,846.21

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Solution

The fourth proportional to 27,277.85, 37,642.78 and 17,846.21 is: 24,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,277.85 : 37,642.78 = 17,846.21 : x
  2. Step 2: Convert to fraction form
    27,277.85/37,642.78 = 17,846.21/x
  3. Step 3: Cross multiply
    27,277.85x = 37,642.78 × 17,846.21
  4. Step 4: Simplify right side
    27,277.85x = 671,780,956.86
  5. Step 5: Solve for x
    x = 671,780,956.86/27,277.85
  6. Step 6: Final answer
    x = 24,627.34

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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.