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Finding the Fourth Proportional to 12,818.70, 17,686.97 and 7,438.01

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Solution

The fourth proportional to 12,818.70, 17,686.97 and 7,438.01 is: 10,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.70 : 17,686.97 = 7,438.01 : x
  2. Step 2: Convert to fraction form
    12,818.70/17,686.97 = 7,438.01/x
  3. Step 3: Cross multiply
    12,818.70x = 17,686.97 × 7,438.01
  4. Step 4: Simplify right side
    12,818.70x = 131,555,866.76
  5. Step 5: Solve for x
    x = 131,555,866.76/12,818.70
  6. Step 6: Final answer
    x = 10,262.81

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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.