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Finding the Fourth Proportional to 23,116.66, 31,900.82 and 12,506.14

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Solution

The fourth proportional to 23,116.66, 31,900.82 and 12,506.14 is: 17,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.66 : 31,900.82 = 12,506.14 : x
  2. Step 2: Convert to fraction form
    23,116.66/31,900.82 = 12,506.14/x
  3. Step 3: Cross multiply
    23,116.66x = 31,900.82 × 12,506.14
  4. Step 4: Simplify right side
    23,116.66x = 398,956,121.03
  5. Step 5: Solve for x
    x = 398,956,121.03/23,116.66
  6. Step 6: Final answer
    x = 17,258.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.