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Finding the Fourth Proportional to 15,822.36, 21,835.61 and 8,749.24

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Solution

The fourth proportional to 15,822.36, 21,835.61 and 8,749.24 is: 12,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.36 : 21,835.61 = 8,749.24 : x
  2. Step 2: Convert to fraction form
    15,822.36/21,835.61 = 8,749.24/x
  3. Step 3: Cross multiply
    15,822.36x = 21,835.61 × 8,749.24
  4. Step 4: Simplify right side
    15,822.36x = 191,044,959.72
  5. Step 5: Solve for x
    x = 191,044,959.72/15,822.36
  6. Step 6: Final answer
    x = 12,074.37

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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.