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Finding the Fourth Proportional to 17,638.68, 24,340.62 and 10,084.44

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Solution

The fourth proportional to 17,638.68, 24,340.62 and 10,084.44 is: 13,916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.68 : 24,340.62 = 10,084.44 : x
  2. Step 2: Convert to fraction form
    17,638.68/24,340.62 = 10,084.44/x
  3. Step 3: Cross multiply
    17,638.68x = 24,340.62 × 10,084.44
  4. Step 4: Simplify right side
    17,638.68x = 245,461,521.95
  5. Step 5: Solve for x
    x = 245,461,521.95/17,638.68
  6. Step 6: Final answer
    x = 13,916.09

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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.