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Finding the Fourth Proportional to 13,818.88, 20,712.09 and 6,407.74

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Solution

The fourth proportional to 13,818.88, 20,712.09 and 6,407.74 is: 9,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.88 : 20,712.09 = 6,407.74 : x
  2. Step 2: Convert to fraction form
    13,818.88/20,712.09 = 6,407.74/x
  3. Step 3: Cross multiply
    13,818.88x = 20,712.09 × 6,407.74
  4. Step 4: Simplify right side
    13,818.88x = 132,717,687.58
  5. Step 5: Solve for x
    x = 132,717,687.58/13,818.88
  6. Step 6: Final answer
    x = 9,604.08

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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.