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Finding the Fourth Proportional to 23,115.94, 31,900.22 and 12,505.80

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Solution

The fourth proportional to 23,115.94, 31,900.22 and 12,505.80 is: 17,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.94 : 31,900.22 = 12,505.80 : x
  2. Step 2: Convert to fraction form
    23,115.94/31,900.22 = 12,505.80/x
  3. Step 3: Cross multiply
    23,115.94x = 31,900.22 × 12,505.80
  4. Step 4: Simplify right side
    23,115.94x = 398,937,766.18
  5. Step 5: Solve for x
    x = 398,937,766.18/23,115.94
  6. Step 6: Final answer
    x = 17,258.13

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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.