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Finding the Fourth Proportional to 13,173.96, 18,180.56 and 7,509.60

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Solution

The fourth proportional to 13,173.96, 18,180.56 and 7,509.60 is: 10,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.96 : 18,180.56 = 7,509.60 : x
  2. Step 2: Convert to fraction form
    13,173.96/18,180.56 = 7,509.60/x
  3. Step 3: Cross multiply
    13,173.96x = 18,180.56 × 7,509.60
  4. Step 4: Simplify right side
    13,173.96x = 136,528,661.25
  5. Step 5: Solve for x
    x = 136,528,661.25/13,173.96
  6. Step 6: Final answer
    x = 10,363.53

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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.