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Finding the Fourth Proportional to 14,857.88, 20,503.91 and 8,143.76

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Solution

The fourth proportional to 14,857.88, 20,503.91 and 8,143.76 is: 11,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.88 : 20,503.91 = 8,143.76 : x
  2. Step 2: Convert to fraction form
    14,857.88/20,503.91 = 8,143.76/x
  3. Step 3: Cross multiply
    14,857.88x = 20,503.91 × 8,143.76
  4. Step 4: Simplify right side
    14,857.88x = 166,978,993.72
  5. Step 5: Solve for x
    x = 166,978,993.72/14,857.88
  6. Step 6: Final answer
    x = 11,238.41

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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.