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Finding the Fourth Proportional to 15,820.78, 21,832.95 and 8,747.23

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Solution

The fourth proportional to 15,820.78, 21,832.95 and 8,747.23 is: 12,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.78 : 21,832.95 = 8,747.23 : x
  2. Step 2: Convert to fraction form
    15,820.78/21,832.95 = 8,747.23/x
  3. Step 3: Cross multiply
    15,820.78x = 21,832.95 × 8,747.23
  4. Step 4: Simplify right side
    15,820.78x = 190,977,835.23
  5. Step 5: Solve for x
    x = 190,977,835.23/15,820.78
  6. Step 6: Final answer
    x = 12,071.33

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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.