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Finding the Fourth Proportional to 16,078.40, 24,117.60 and 10,829.60

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Solution

The fourth proportional to 16,078.40, 24,117.60 and 10,829.60 is: 16,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.40 : 24,117.60 = 10,829.60 : x
  2. Step 2: Convert to fraction form
    16,078.40/24,117.60 = 10,829.60/x
  3. Step 3: Cross multiply
    16,078.40x = 24,117.60 × 10,829.60
  4. Step 4: Simplify right side
    16,078.40x = 261,183,960.96
  5. Step 5: Solve for x
    x = 261,183,960.96/16,078.40
  6. Step 6: Final answer
    x = 16,244.40

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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.