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Finding the Fourth Proportional to 23,084.35, 31,854.49 and 13,015.27

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Solution

The fourth proportional to 23,084.35, 31,854.49 and 13,015.27 is: 17,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.35 : 31,854.49 = 13,015.27 : x
  2. Step 2: Convert to fraction form
    23,084.35/31,854.49 = 13,015.27/x
  3. Step 3: Cross multiply
    23,084.35x = 31,854.49 × 13,015.27
  4. Step 4: Simplify right side
    23,084.35x = 414,594,764.51
  5. Step 5: Solve for x
    x = 414,594,764.51/23,084.35
  6. Step 6: Final answer
    x = 17,959.99

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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.