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Finding the Fourth Proportional to 23,021.76, 31,771.62 and 12,951.16

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Solution

The fourth proportional to 23,021.76, 31,771.62 and 12,951.16 is: 17,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021.76 : 31,771.62 = 12,951.16 : x
  2. Step 2: Convert to fraction form
    23,021.76/31,771.62 = 12,951.16/x
  3. Step 3: Cross multiply
    23,021.76x = 31,771.62 × 12,951.16
  4. Step 4: Simplify right side
    23,021.76x = 411,479,334.08
  5. Step 5: Solve for x
    x = 411,479,334.08/23,021.76
  6. Step 6: Final answer
    x = 17,873.50

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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.