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Finding the Fourth Proportional to 30,269.84, 41,764.58 and 16,838

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Solution

The fourth proportional to 30,269.84, 41,764.58 and 16,838 is: 23,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269.84 : 41,764.58 = 16,838 : x
  2. Step 2: Convert to fraction form
    30,269.84/41,764.58 = 16,838/x
  3. Step 3: Cross multiply
    30,269.84x = 41,764.58 × 16,838
  4. Step 4: Simplify right side
    30,269.84x = 703,231,998.04
  5. Step 5: Solve for x
    x = 703,231,998.04/30,269.84
  6. Step 6: Final answer
    x = 23,232.10

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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.