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Finding the Fourth Proportional to 13,025.64, 17,975.40 and 7,057.32

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Solution

The fourth proportional to 13,025.64, 17,975.40 and 7,057.32 is: 9,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.64 : 17,975.40 = 7,057.32 : x
  2. Step 2: Convert to fraction form
    13,025.64/17,975.40 = 7,057.32/x
  3. Step 3: Cross multiply
    13,025.64x = 17,975.40 × 7,057.32
  4. Step 4: Simplify right side
    13,025.64x = 126,858,149.93
  5. Step 5: Solve for x
    x = 126,858,149.93/13,025.64
  6. Step 6: Final answer
    x = 9,739.11

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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.