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Finding the Fourth Proportional to 18,768.50, 25,901.34 and 10,385

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Solution

The fourth proportional to 18,768.50, 25,901.34 and 10,385 is: 14,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,768.50 : 25,901.34 = 10,385 : x
  2. Step 2: Convert to fraction form
    18,768.50/25,901.34 = 10,385/x
  3. Step 3: Cross multiply
    18,768.50x = 25,901.34 × 10,385
  4. Step 4: Simplify right side
    18,768.50x = 268,985,415.90
  5. Step 5: Solve for x
    x = 268,985,415.90/18,768.50
  6. Step 6: Final answer
    x = 14,331.75

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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.