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Finding the Fourth Proportional to 19,622.40, 29,433.60 and 10,406.40

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Solution

The fourth proportional to 19,622.40, 29,433.60 and 10,406.40 is: 15,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,622.40 : 29,433.60 = 10,406.40 : x
  2. Step 2: Convert to fraction form
    19,622.40/29,433.60 = 10,406.40/x
  3. Step 3: Cross multiply
    19,622.40x = 29,433.60 × 10,406.40
  4. Step 4: Simplify right side
    19,622.40x = 306,297,815.04
  5. Step 5: Solve for x
    x = 306,297,815.04/19,622.40
  6. Step 6: Final answer
    x = 15,609.60

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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.