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Finding the Fourth Proportional to 22,842.86, 31,523.85 and 12,771.72

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Solution

The fourth proportional to 22,842.86, 31,523.85 and 12,771.72 is: 17,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.86 : 31,523.85 = 12,771.72 : x
  2. Step 2: Convert to fraction form
    22,842.86/31,523.85 = 12,771.72/x
  3. Step 3: Cross multiply
    22,842.86x = 31,523.85 × 12,771.72
  4. Step 4: Simplify right side
    22,842.86x = 402,613,785.52
  5. Step 5: Solve for x
    x = 402,613,785.52/22,842.86
  6. Step 6: Final answer
    x = 17,625.37

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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.