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Finding the Fourth Proportional to 12,446.64, 18,675.36 and 4,127.76

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Solution

The fourth proportional to 12,446.64, 18,675.36 and 4,127.76 is: 6,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.64 : 18,675.36 = 4,127.76 : x
  2. Step 2: Convert to fraction form
    12,446.64/18,675.36 = 4,127.76/x
  3. Step 3: Cross multiply
    12,446.64x = 18,675.36 × 4,127.76
  4. Step 4: Simplify right side
    12,446.64x = 77,087,403.99
  5. Step 5: Solve for x
    x = 77,087,403.99/12,446.64
  6. Step 6: Final answer
    x = 6,193.43

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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.