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Finding the Fourth Proportional to 13,025.76, 17,975.47 and 7,057.54

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Solution

The fourth proportional to 13,025.76, 17,975.47 and 7,057.54 is: 9,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.76 : 17,975.47 = 7,057.54 : x
  2. Step 2: Convert to fraction form
    13,025.76/17,975.47 = 7,057.54/x
  3. Step 3: Cross multiply
    13,025.76x = 17,975.47 × 7,057.54
  4. Step 4: Simplify right side
    13,025.76x = 126,862,598.54
  5. Step 5: Solve for x
    x = 126,862,598.54/13,025.76
  6. Step 6: Final answer
    x = 9,739.36

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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.