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Finding the Fourth Proportional to 23,101.83, 31,880.51 and 12,491.44

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Solution

The fourth proportional to 23,101.83, 31,880.51 and 12,491.44 is: 17,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.83 : 31,880.51 = 12,491.44 : x
  2. Step 2: Convert to fraction form
    23,101.83/31,880.51 = 12,491.44/x
  3. Step 3: Cross multiply
    23,101.83x = 31,880.51 × 12,491.44
  4. Step 4: Simplify right side
    23,101.83x = 398,233,415.38
  5. Step 5: Solve for x
    x = 398,233,415.38/23,101.83
  6. Step 6: Final answer
    x = 17,238.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.