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Finding the Fourth Proportional to 13,014, 17,955.16 and 7,975.60

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Solution

The fourth proportional to 13,014, 17,955.16 and 7,975.60 is: 11,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014 : 17,955.16 = 7,975.60 : x
  2. Step 2: Convert to fraction form
    13,014/17,955.16 = 7,975.60/x
  3. Step 3: Cross multiply
    13,014x = 17,955.16 × 7,975.60
  4. Step 4: Simplify right side
    13,014x = 143,203,174.10
  5. Step 5: Solve for x
    x = 143,203,174.10/13,014
  6. Step 6: Final answer
    x = 11,003.78

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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.