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Finding the Fourth Proportional to 13,902.95, 20,802.09 and 9,751.05

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Solution

The fourth proportional to 13,902.95, 20,802.09 and 9,751.05 is: 14,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.95 : 20,802.09 = 9,751.05 : x
  2. Step 2: Convert to fraction form
    13,902.95/20,802.09 = 9,751.05/x
  3. Step 3: Cross multiply
    13,902.95x = 20,802.09 × 9,751.05
  4. Step 4: Simplify right side
    13,902.95x = 202,842,219.69
  5. Step 5: Solve for x
    x = 202,842,219.69/13,902.95
  6. Step 6: Final answer
    x = 14,589.87

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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.