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Finding the Fourth Proportional to 12,422.97, 18,638.47 and 3,657.93

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Solution

The fourth proportional to 12,422.97, 18,638.47 and 3,657.93 is: 5,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.97 : 18,638.47 = 3,657.93 : x
  2. Step 2: Convert to fraction form
    12,422.97/18,638.47 = 3,657.93/x
  3. Step 3: Cross multiply
    12,422.97x = 18,638.47 × 3,657.93
  4. Step 4: Simplify right side
    12,422.97x = 68,178,116.23
  5. Step 5: Solve for x
    x = 68,178,116.23/12,422.97
  6. Step 6: Final answer
    x = 5,488.07

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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.