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Finding the Fourth Proportional to 18,165.84, 25,069.50 and 10,207.90

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Solution

The fourth proportional to 18,165.84, 25,069.50 and 10,207.90 is: 14,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,165.84 : 25,069.50 = 10,207.90 : x
  2. Step 2: Convert to fraction form
    18,165.84/25,069.50 = 10,207.90/x
  3. Step 3: Cross multiply
    18,165.84x = 25,069.50 × 10,207.90
  4. Step 4: Simplify right side
    18,165.84x = 255,906,949.05
  5. Step 5: Solve for x
    x = 255,906,949.05/18,165.84
  6. Step 6: Final answer
    x = 14,087.26

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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.