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Finding the Fourth Proportional to 19,546.63, 29,319.93 and 7,857.12

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Solution

The fourth proportional to 19,546.63, 29,319.93 and 7,857.12 is: 11,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.63 : 29,319.93 = 7,857.12 : x
  2. Step 2: Convert to fraction form
    19,546.63/29,319.93 = 7,857.12/x
  3. Step 3: Cross multiply
    19,546.63x = 29,319.93 × 7,857.12
  4. Step 4: Simplify right side
    19,546.63x = 230,370,081.44
  5. Step 5: Solve for x
    x = 230,370,081.44/19,546.63
  6. Step 6: Final answer
    x = 11,785.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.