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Finding the Fourth Proportional to 23,116.87, 31,901.26 and 12,506.51

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Solution

The fourth proportional to 23,116.87, 31,901.26 and 12,506.51 is: 17,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.87 : 31,901.26 = 12,506.51 : x
  2. Step 2: Convert to fraction form
    23,116.87/31,901.26 = 12,506.51/x
  3. Step 3: Cross multiply
    23,116.87x = 31,901.26 × 12,506.51
  4. Step 4: Simplify right side
    23,116.87x = 398,973,364.67
  5. Step 5: Solve for x
    x = 398,973,364.67/23,116.87
  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.