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Finding the Fourth Proportional to 13,173.86, 18,179.54 and 7,205.40

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Solution

The fourth proportional to 13,173.86, 18,179.54 and 7,205.40 is: 9,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.86 : 18,179.54 = 7,205.40 : x
  2. Step 2: Convert to fraction form
    13,173.86/18,179.54 = 7,205.40/x
  3. Step 3: Cross multiply
    13,173.86x = 18,179.54 × 7,205.40
  4. Step 4: Simplify right side
    13,173.86x = 130,990,821.49
  5. Step 5: Solve for x
    x = 130,990,821.49/13,173.86
  6. Step 6: Final answer
    x = 9,943.24

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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.