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Finding the Fourth Proportional to 20,017.50, 27,624.15 and 11,185.50

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Solution

The fourth proportional to 20,017.50, 27,624.15 and 11,185.50 is: 15,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017.50 : 27,624.15 = 11,185.50 : x
  2. Step 2: Convert to fraction form
    20,017.50/27,624.15 = 11,185.50/x
  3. Step 3: Cross multiply
    20,017.50x = 27,624.15 × 11,185.50
  4. Step 4: Simplify right side
    20,017.50x = 308,989,929.83
  5. Step 5: Solve for x
    x = 308,989,929.83/20,017.50
  6. Step 6: Final answer
    x = 15,435.99

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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.