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Finding the Fourth Proportional to 23,828.84, 35,718.26 and 8,028.40

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Solution

The fourth proportional to 23,828.84, 35,718.26 and 8,028.40 is: 12,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.84 : 35,718.26 = 8,028.40 : x
  2. Step 2: Convert to fraction form
    23,828.84/35,718.26 = 8,028.40/x
  3. Step 3: Cross multiply
    23,828.84x = 35,718.26 × 8,028.40
  4. Step 4: Simplify right side
    23,828.84x = 286,760,478.58
  5. Step 5: Solve for x
    x = 286,760,478.58/23,828.84
  6. Step 6: Final answer
    x = 12,034.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.