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Finding the Fourth Proportional to 13,003.14, 19,505.63 and 6,427.56

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Solution

The fourth proportional to 13,003.14, 19,505.63 and 6,427.56 is: 9,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.14 : 19,505.63 = 6,427.56 : x
  2. Step 2: Convert to fraction form
    13,003.14/19,505.63 = 6,427.56/x
  3. Step 3: Cross multiply
    13,003.14x = 19,505.63 × 6,427.56
  4. Step 4: Simplify right side
    13,003.14x = 125,373,607.16
  5. Step 5: Solve for x
    x = 125,373,607.16/13,003.14
  6. Step 6: Final answer
    x = 9,641.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.