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Finding the Fourth Proportional to 13,189.64, 18,202.20 and 7,525.32

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Solution

The fourth proportional to 13,189.64, 18,202.20 and 7,525.32 is: 10,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.64 : 18,202.20 = 7,525.32 : x
  2. Step 2: Convert to fraction form
    13,189.64/18,202.20 = 7,525.32/x
  3. Step 3: Cross multiply
    13,189.64x = 18,202.20 × 7,525.32
  4. Step 4: Simplify right side
    13,189.64x = 136,977,379.70
  5. Step 5: Solve for x
    x = 136,977,379.70/13,189.64
  6. Step 6: Final answer
    x = 10,385.23

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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.