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Finding the Fourth Proportional to 23,122, 31,908.42 and 12,511.72

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Solution

The fourth proportional to 23,122, 31,908.42 and 12,511.72 is: 17,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,122 : 31,908.42 = 12,511.72 : x
  2. Step 2: Convert to fraction form
    23,122/31,908.42 = 12,511.72/x
  3. Step 3: Cross multiply
    23,122x = 31,908.42 × 12,511.72
  4. Step 4: Simplify right side
    23,122x = 399,229,216.68
  5. Step 5: Solve for x
    x = 399,229,216.68/23,122
  6. Step 6: Final answer
    x = 17,266.21

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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.