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Finding the Fourth Proportional to 23,107.97, 31,889.15 and 12,497.58

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Solution

The fourth proportional to 23,107.97, 31,889.15 and 12,497.58 is: 17,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.97 : 31,889.15 = 12,497.58 : x
  2. Step 2: Convert to fraction form
    23,107.97/31,889.15 = 12,497.58/x
  3. Step 3: Cross multiply
    23,107.97x = 31,889.15 × 12,497.58
  4. Step 4: Simplify right side
    23,107.97x = 398,537,140.77
  5. Step 5: Solve for x
    x = 398,537,140.77/23,107.97
  6. Step 6: Final answer
    x = 17,246.74

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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.