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Finding the Fourth Proportional to 14,143.76, 21,197.40 and 5,813.76

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Solution

The fourth proportional to 14,143.76, 21,197.40 and 5,813.76 is: 8,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.76 : 21,197.40 = 5,813.76 : x
  2. Step 2: Convert to fraction form
    14,143.76/21,197.40 = 5,813.76/x
  3. Step 3: Cross multiply
    14,143.76x = 21,197.40 × 5,813.76
  4. Step 4: Simplify right side
    14,143.76x = 123,236,596.22
  5. Step 5: Solve for x
    x = 123,236,596.22/14,143.76
  6. Step 6: Final answer
    x = 8,713.14

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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.