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Finding the Fourth Proportional to 23,106.29, 31,886.69 and 12,495.92

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Solution

The fourth proportional to 23,106.29, 31,886.69 and 12,495.92 is: 17,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.29 : 31,886.69 = 12,495.92 : x
  2. Step 2: Convert to fraction form
    23,106.29/31,886.69 = 12,495.92/x
  3. Step 3: Cross multiply
    23,106.29x = 31,886.69 × 12,495.92
  4. Step 4: Simplify right side
    23,106.29x = 398,453,544.54
  5. Step 5: Solve for x
    x = 398,453,544.54/23,106.29
  6. Step 6: Final answer
    x = 17,244.37

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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.