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Finding the Fourth Proportional to 18,520.25, 27,774.90 and 10,204.18

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Solution

The fourth proportional to 18,520.25, 27,774.90 and 10,204.18 is: 15,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,520.25 : 27,774.90 = 10,204.18 : x
  2. Step 2: Convert to fraction form
    18,520.25/27,774.90 = 10,204.18/x
  3. Step 3: Cross multiply
    18,520.25x = 27,774.90 × 10,204.18
  4. Step 4: Simplify right side
    18,520.25x = 283,420,009.64
  5. Step 5: Solve for x
    x = 283,420,009.64/18,520.25
  6. Step 6: Final answer
    x = 15,303.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.