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Finding the Fourth Proportional to 12,478.85, 17,239.59 and 8,182.14

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Solution

The fourth proportional to 12,478.85, 17,239.59 and 8,182.14 is: 11,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.85 : 17,239.59 = 8,182.14 : x
  2. Step 2: Convert to fraction form
    12,478.85/17,239.59 = 8,182.14/x
  3. Step 3: Cross multiply
    12,478.85x = 17,239.59 × 8,182.14
  4. Step 4: Simplify right side
    12,478.85x = 141,056,738.92
  5. Step 5: Solve for x
    x = 141,056,738.92/12,478.85
  6. Step 6: Final answer
    x = 11,303.67

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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.