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Finding the Fourth Proportional to 16,536.89, 22,820.25 and 9,822.34

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Solution

The fourth proportional to 16,536.89, 22,820.25 and 9,822.34 is: 13,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.89 : 22,820.25 = 9,822.34 : x
  2. Step 2: Convert to fraction form
    16,536.89/22,820.25 = 9,822.34/x
  3. Step 3: Cross multiply
    16,536.89x = 22,820.25 × 9,822.34
  4. Step 4: Simplify right side
    16,536.89x = 224,148,197.33
  5. Step 5: Solve for x
    x = 224,148,197.33/16,536.89
  6. Step 6: Final answer
    x = 13,554.44

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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.