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Finding the Fourth Proportional to 16,433, 22,678.10 and 8,981.48

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Solution

The fourth proportional to 16,433, 22,678.10 and 8,981.48 is: 12,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433 : 22,678.10 = 8,981.48 : x
  2. Step 2: Convert to fraction form
    16,433/22,678.10 = 8,981.48/x
  3. Step 3: Cross multiply
    16,433x = 22,678.10 × 8,981.48
  4. Step 4: Simplify right side
    16,433x = 203,682,901.59
  5. Step 5: Solve for x
    x = 203,682,901.59/16,433
  6. Step 6: Final answer
    x = 12,394.75

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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.