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Finding the Fourth Proportional to 15,380.21, 23,063.09 and 9,141.05

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Solution

The fourth proportional to 15,380.21, 23,063.09 and 9,141.05 is: 13,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380.21 : 23,063.09 = 9,141.05 : x
  2. Step 2: Convert to fraction form
    15,380.21/23,063.09 = 9,141.05/x
  3. Step 3: Cross multiply
    15,380.21x = 23,063.09 × 9,141.05
  4. Step 4: Simplify right side
    15,380.21x = 210,820,697.82
  5. Step 5: Solve for x
    x = 210,820,697.82/15,380.21
  6. Step 6: Final answer
    x = 13,707.27

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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.