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Finding the Fourth Proportional to 16,098.54, 22,214.34 and 9,023.46

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Solution

The fourth proportional to 16,098.54, 22,214.34 and 9,023.46 is: 12,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.54 : 22,214.34 = 9,023.46 : x
  2. Step 2: Convert to fraction form
    16,098.54/22,214.34 = 9,023.46/x
  3. Step 3: Cross multiply
    16,098.54x = 22,214.34 × 9,023.46
  4. Step 4: Simplify right side
    16,098.54x = 200,450,208.42
  5. Step 5: Solve for x
    x = 200,450,208.42/16,098.54
  6. Step 6: Final answer
    x = 12,451.45

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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.