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Finding the Fourth Proportional to 23,116.95, 31,901.31 and 12,506.54

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Solution

The fourth proportional to 23,116.95, 31,901.31 and 12,506.54 is: 17,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.95 : 31,901.31 = 12,506.54 : x
  2. Step 2: Convert to fraction form
    23,116.95/31,901.31 = 12,506.54/x
  3. Step 3: Cross multiply
    23,116.95x = 31,901.31 × 12,506.54
  4. Step 4: Simplify right side
    23,116.95x = 398,974,850.06
  5. Step 5: Solve for x
    x = 398,974,850.06/23,116.95
  6. Step 6: Final answer
    x = 17,258.97

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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.