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Finding the Fourth Proportional to 23,084.80, 31,859.83 and 13,015.18

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Solution

The fourth proportional to 23,084.80, 31,859.83 and 13,015.18 is: 17,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.80 : 31,859.83 = 13,015.18 : x
  2. Step 2: Convert to fraction form
    23,084.80/31,859.83 = 13,015.18/x
  3. Step 3: Cross multiply
    23,084.80x = 31,859.83 × 13,015.18
  4. Step 4: Simplify right side
    23,084.80x = 414,661,422.22
  5. Step 5: Solve for x
    x = 414,661,422.22/23,084.80
  6. Step 6: Final answer
    x = 17,962.53

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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.