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Finding the Fourth Proportional to 16,822.34, 23,213.90 and 9,267.19

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Solution

The fourth proportional to 16,822.34, 23,213.90 and 9,267.19 is: 12,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.34 : 23,213.90 = 9,267.19 : x
  2. Step 2: Convert to fraction form
    16,822.34/23,213.90 = 9,267.19/x
  3. Step 3: Cross multiply
    16,822.34x = 23,213.90 × 9,267.19
  4. Step 4: Simplify right side
    16,822.34x = 215,127,459.54
  5. Step 5: Solve for x
    x = 215,127,459.54/16,822.34
  6. Step 6: Final answer
    x = 12,788.20

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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.