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Finding the Fourth Proportional to 13,173.83, 18,180.39 and 7,509.47

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Solution

The fourth proportional to 13,173.83, 18,180.39 and 7,509.47 is: 10,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.83 : 18,180.39 = 7,509.47 : x
  2. Step 2: Convert to fraction form
    13,173.83/18,180.39 = 7,509.47/x
  3. Step 3: Cross multiply
    13,173.83x = 18,180.39 × 7,509.47
  4. Step 4: Simplify right side
    13,173.83x = 136,525,093.29
  5. Step 5: Solve for x
    x = 136,525,093.29/13,173.83
  6. Step 6: Final answer
    x = 10,363.36

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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.