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Finding the Fourth Proportional to 23,116.88, 31,901.25 and 12,506.51

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Solution

The fourth proportional to 23,116.88, 31,901.25 and 12,506.51 is: 17,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.88 : 31,901.25 = 12,506.51 : x
  2. Step 2: Convert to fraction form
    23,116.88/31,901.25 = 12,506.51/x
  3. Step 3: Cross multiply
    23,116.88x = 31,901.25 × 12,506.51
  4. Step 4: Simplify right side
    23,116.88x = 398,973,302.14
  5. Step 5: Solve for x
    x = 398,973,302.14/23,116.88
  6. Step 6: Final answer
    x = 17,258.96

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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.