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Finding the Fourth Proportional to 13,378.46, 18,457.48 and 8,071.34

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Solution

The fourth proportional to 13,378.46, 18,457.48 and 8,071.34 is: 11,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.46 : 18,457.48 = 8,071.34 : x
  2. Step 2: Convert to fraction form
    13,378.46/18,457.48 = 8,071.34/x
  3. Step 3: Cross multiply
    13,378.46x = 18,457.48 × 8,071.34
  4. Step 4: Simplify right side
    13,378.46x = 148,976,596.62
  5. Step 5: Solve for x
    x = 148,976,596.62/13,378.46
  6. Step 6: Final answer
    x = 11,135.56

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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.