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Finding the Fourth Proportional to 11,509.38, 17,250.99 and 10,120.02

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Solution

The fourth proportional to 11,509.38, 17,250.99 and 10,120.02 is: 15,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.38 : 17,250.99 = 10,120.02 : x
  2. Step 2: Convert to fraction form
    11,509.38/17,250.99 = 10,120.02/x
  3. Step 3: Cross multiply
    11,509.38x = 17,250.99 × 10,120.02
  4. Step 4: Simplify right side
    11,509.38x = 174,580,363.82
  5. Step 5: Solve for x
    x = 174,580,363.82/11,509.38
  6. Step 6: Final answer
    x = 15,168.53

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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.