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Finding the Fourth Proportional to 23,107.41, 31,888.25 and 12,497.06

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Solution

The fourth proportional to 23,107.41, 31,888.25 and 12,497.06 is: 17,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.41 : 31,888.25 = 12,497.06 : x
  2. Step 2: Convert to fraction form
    23,107.41/31,888.25 = 12,497.06/x
  3. Step 3: Cross multiply
    23,107.41x = 31,888.25 × 12,497.06
  4. Step 4: Simplify right side
    23,107.41x = 398,509,151.62
  5. Step 5: Solve for x
    x = 398,509,151.62/23,107.41
  6. Step 6: Final answer
    x = 17,245.95

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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.