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Finding the Fourth Proportional to 16,643.54, 22,962.20 and 10,678.43

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Solution

The fourth proportional to 16,643.54, 22,962.20 and 10,678.43 is: 14,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.54 : 22,962.20 = 10,678.43 : x
  2. Step 2: Convert to fraction form
    16,643.54/22,962.20 = 10,678.43/x
  3. Step 3: Cross multiply
    16,643.54x = 22,962.20 × 10,678.43
  4. Step 4: Simplify right side
    16,643.54x = 245,200,077.14
  5. Step 5: Solve for x
    x = 245,200,077.14/16,643.54
  6. Step 6: Final answer
    x = 14,732.45

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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.