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Finding the Fourth Proportional to 12,570.85, 18,857.22 and 3,806.47

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Solution

The fourth proportional to 12,570.85, 18,857.22 and 3,806.47 is: 5,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.85 : 18,857.22 = 3,806.47 : x
  2. Step 2: Convert to fraction form
    12,570.85/18,857.22 = 3,806.47/x
  3. Step 3: Cross multiply
    12,570.85x = 18,857.22 × 3,806.47
  4. Step 4: Simplify right side
    12,570.85x = 71,779,442.21
  5. Step 5: Solve for x
    x = 71,779,442.21/12,570.85
  6. Step 6: Final answer
    x = 5,709.99

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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.