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Finding the Fourth Proportional to 13,149.63, 18,145.82 and 7,180.16

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Solution

The fourth proportional to 13,149.63, 18,145.82 and 7,180.16 is: 9,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.63 : 18,145.82 = 7,180.16 : x
  2. Step 2: Convert to fraction form
    13,149.63/18,145.82 = 7,180.16/x
  3. Step 3: Cross multiply
    13,149.63x = 18,145.82 × 7,180.16
  4. Step 4: Simplify right side
    13,149.63x = 130,289,818.15
  5. Step 5: Solve for x
    x = 130,289,818.15/13,149.63
  6. Step 6: Final answer
    x = 9,908.25

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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.