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Finding the Fourth Proportional to 23,116.70, 31,901 and 12,506.34

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Solution

The fourth proportional to 23,116.70, 31,901 and 12,506.34 is: 17,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.70 : 31,901 = 12,506.34 : x
  2. Step 2: Convert to fraction form
    23,116.70/31,901 = 12,506.34/x
  3. Step 3: Cross multiply
    23,116.70x = 31,901 × 12,506.34
  4. Step 4: Simplify right side
    23,116.70x = 398,964,752.34
  5. Step 5: Solve for x
    x = 398,964,752.34/23,116.70
  6. Step 6: Final answer
    x = 17,258.72

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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.