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Finding the Fourth Proportional to 13,847.68, 19,109.69 and 7,560.05

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Solution

The fourth proportional to 13,847.68, 19,109.69 and 7,560.05 is: 10,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.68 : 19,109.69 = 7,560.05 : x
  2. Step 2: Convert to fraction form
    13,847.68/19,109.69 = 7,560.05/x
  3. Step 3: Cross multiply
    13,847.68x = 19,109.69 × 7,560.05
  4. Step 4: Simplify right side
    13,847.68x = 144,470,230.78
  5. Step 5: Solve for x
    x = 144,470,230.78/13,847.68
  6. Step 6: Final answer
    x = 10,432.81

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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.