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Finding the Fourth Proportional to 23,838.14, 32,908.88 and 16,796

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Solution

The fourth proportional to 23,838.14, 32,908.88 and 16,796 is: 23,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.14 : 32,908.88 = 16,796 : x
  2. Step 2: Convert to fraction form
    23,838.14/32,908.88 = 16,796/x
  3. Step 3: Cross multiply
    23,838.14x = 32,908.88 × 16,796
  4. Step 4: Simplify right side
    23,838.14x = 552,737,548.48
  5. Step 5: Solve for x
    x = 552,737,548.48/23,838.14
  6. Step 6: Final answer
    x = 23,187.11

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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.