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Finding the Fourth Proportional to 15,828.36, 21,843.28 and 8,658.14

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Solution

The fourth proportional to 15,828.36, 21,843.28 and 8,658.14 is: 11,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.36 : 21,843.28 = 8,658.14 : x
  2. Step 2: Convert to fraction form
    15,828.36/21,843.28 = 8,658.14/x
  3. Step 3: Cross multiply
    15,828.36x = 21,843.28 × 8,658.14
  4. Step 4: Simplify right side
    15,828.36x = 189,122,045.44
  5. Step 5: Solve for x
    x = 189,122,045.44/15,828.36
  6. Step 6: Final answer
    x = 11,948.30

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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.