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Finding the Fourth Proportional to 23,112.26, 31,894.88 and 12,501.86

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Solution

The fourth proportional to 23,112.26, 31,894.88 and 12,501.86 is: 17,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112.26 : 31,894.88 = 12,501.86 : x
  2. Step 2: Convert to fraction form
    23,112.26/31,894.88 = 12,501.86/x
  3. Step 3: Cross multiply
    23,112.26x = 31,894.88 × 12,501.86
  4. Step 4: Simplify right side
    23,112.26x = 398,745,102.49
  5. Step 5: Solve for x
    x = 398,745,102.49/23,112.26
  6. Step 6: Final answer
    x = 17,252.54

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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.