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Finding the Fourth Proportional to 19,858.54, 29,790.68 and 6,714.67

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Solution

The fourth proportional to 19,858.54, 29,790.68 and 6,714.67 is: 10,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.54 : 29,790.68 = 6,714.67 : x
  2. Step 2: Convert to fraction form
    19,858.54/29,790.68 = 6,714.67/x
  3. Step 3: Cross multiply
    19,858.54x = 29,790.68 × 6,714.67
  4. Step 4: Simplify right side
    19,858.54x = 200,034,585.28
  5. Step 5: Solve for x
    x = 200,034,585.28/19,858.54
  6. Step 6: Final answer
    x = 10,072.98

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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.