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Finding the Fourth Proportional to 14,131.67, 21,182.92 and 4,768.57

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Solution

The fourth proportional to 14,131.67, 21,182.92 and 4,768.57 is: 7,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.67 : 21,182.92 = 4,768.57 : x
  2. Step 2: Convert to fraction form
    14,131.67/21,182.92 = 4,768.57/x
  3. Step 3: Cross multiply
    14,131.67x = 21,182.92 × 4,768.57
  4. Step 4: Simplify right side
    14,131.67x = 101,012,251.38
  5. Step 5: Solve for x
    x = 101,012,251.38/14,131.67
  6. Step 6: Final answer
    x = 7,147.94

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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.