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Finding the Fourth Proportional to 13,173.16, 18,179.32 and 7,205.18

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Solution

The fourth proportional to 13,173.16, 18,179.32 and 7,205.18 is: 9,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.16 : 18,179.32 = 7,205.18 : x
  2. Step 2: Convert to fraction form
    13,173.16/18,179.32 = 7,205.18/x
  3. Step 3: Cross multiply
    13,173.16x = 18,179.32 × 7,205.18
  4. Step 4: Simplify right side
    13,173.16x = 130,985,272.88
  5. Step 5: Solve for x
    x = 130,985,272.88/13,173.16
  6. Step 6: Final answer
    x = 9,943.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.