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Finding the Fourth Proportional to 19,438.22, 29,119.18 and 10,084.34

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Solution

The fourth proportional to 19,438.22, 29,119.18 and 10,084.34 is: 15,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,438.22 : 29,119.18 = 10,084.34 : x
  2. Step 2: Convert to fraction form
    19,438.22/29,119.18 = 10,084.34/x
  3. Step 3: Cross multiply
    19,438.22x = 29,119.18 × 10,084.34
  4. Step 4: Simplify right side
    19,438.22x = 293,647,711.64
  5. Step 5: Solve for x
    x = 293,647,711.64/19,438.22
  6. Step 6: Final answer
    x = 15,106.72

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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.