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Finding the Fourth Proportional to 13,314.67, 18,374.24 and 7,346.35

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Solution

The fourth proportional to 13,314.67, 18,374.24 and 7,346.35 is: 10,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.67 : 18,374.24 = 7,346.35 : x
  2. Step 2: Convert to fraction form
    13,314.67/18,374.24 = 7,346.35/x
  3. Step 3: Cross multiply
    13,314.67x = 18,374.24 × 7,346.35
  4. Step 4: Simplify right side
    13,314.67x = 134,983,639.36
  5. Step 5: Solve for x
    x = 134,983,639.36/13,314.67
  6. Step 6: Final answer
    x = 10,137.97

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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.