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Finding the Fourth Proportional to 23,102.25, 31,881.09 and 12,491.88

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Solution

The fourth proportional to 23,102.25, 31,881.09 and 12,491.88 is: 17,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.25 : 31,881.09 = 12,491.88 : x
  2. Step 2: Convert to fraction form
    23,102.25/31,881.09 = 12,491.88/x
  3. Step 3: Cross multiply
    23,102.25x = 31,881.09 × 12,491.88
  4. Step 4: Simplify right side
    23,102.25x = 398,254,750.55
  5. Step 5: Solve for x
    x = 398,254,750.55/23,102.25
  6. Step 6: Final answer
    x = 17,238.79

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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.