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Finding the Fourth Proportional to 13,828.10, 19,081.71 and 8,523

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Solution

The fourth proportional to 13,828.10, 19,081.71 and 8,523 is: 11,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.10 : 19,081.71 = 8,523 : x
  2. Step 2: Convert to fraction form
    13,828.10/19,081.71 = 8,523/x
  3. Step 3: Cross multiply
    13,828.10x = 19,081.71 × 8,523
  4. Step 4: Simplify right side
    13,828.10x = 162,633,414.33
  5. Step 5: Solve for x
    x = 162,633,414.33/13,828.10
  6. Step 6: Final answer
    x = 11,761.09

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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.