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Finding the Fourth Proportional to 13,174.61, 18,180.57 and 7,206.15

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Solution

The fourth proportional to 13,174.61, 18,180.57 and 7,206.15 is: 9,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.61 : 18,180.57 = 7,206.15 : x
  2. Step 2: Convert to fraction form
    13,174.61/18,180.57 = 7,206.15/x
  3. Step 3: Cross multiply
    13,174.61x = 18,180.57 × 7,206.15
  4. Step 4: Simplify right side
    13,174.61x = 131,011,914.51
  5. Step 5: Solve for x
    x = 131,011,914.51/13,174.61
  6. Step 6: Final answer
    x = 9,944.28

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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.