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Finding the Fourth Proportional to 12,054.46, 16,635.18 and 6,749.50

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Solution

The fourth proportional to 12,054.46, 16,635.18 and 6,749.50 is: 9,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054.46 : 16,635.18 = 6,749.50 : x
  2. Step 2: Convert to fraction form
    12,054.46/16,635.18 = 6,749.50/x
  3. Step 3: Cross multiply
    12,054.46x = 16,635.18 × 6,749.50
  4. Step 4: Simplify right side
    12,054.46x = 112,279,147.41
  5. Step 5: Solve for x
    x = 112,279,147.41/12,054.46
  6. Step 6: Final answer
    x = 9,314.32

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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.