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Finding the Fourth Proportional to 23,116.41, 31,900.53 and 12,505.83

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Solution

The fourth proportional to 23,116.41, 31,900.53 and 12,505.83 is: 17,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.41 : 31,900.53 = 12,505.83 : x
  2. Step 2: Convert to fraction form
    23,116.41/31,900.53 = 12,505.83/x
  3. Step 3: Cross multiply
    23,116.41x = 31,900.53 × 12,505.83
  4. Step 4: Simplify right side
    23,116.41x = 398,942,605.09
  5. Step 5: Solve for x
    x = 398,942,605.09/23,116.41
  6. Step 6: Final answer
    x = 17,257.98

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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.