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Finding the Fourth Proportional to 13,313.97, 18,374.31 and 7,346.16

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Solution

The fourth proportional to 13,313.97, 18,374.31 and 7,346.16 is: 10,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313.97 : 18,374.31 = 7,346.16 : x
  2. Step 2: Convert to fraction form
    13,313.97/18,374.31 = 7,346.16/x
  3. Step 3: Cross multiply
    13,313.97x = 18,374.31 × 7,346.16
  4. Step 4: Simplify right side
    13,313.97x = 134,980,621.15
  5. Step 5: Solve for x
    x = 134,980,621.15/13,313.97
  6. Step 6: Final answer
    x = 10,138.27

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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.