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Finding the Fourth Proportional to 34,205.60, 51,308.40 and 12,022.40

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Solution

The fourth proportional to 34,205.60, 51,308.40 and 12,022.40 is: 18,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.60 : 51,308.40 = 12,022.40 : x
  2. Step 2: Convert to fraction form
    34,205.60/51,308.40 = 12,022.40/x
  3. Step 3: Cross multiply
    34,205.60x = 51,308.40 × 12,022.40
  4. Step 4: Simplify right side
    34,205.60x = 616,850,108.16
  5. Step 5: Solve for x
    x = 616,850,108.16/34,205.60
  6. Step 6: Final answer
    x = 18,033.60

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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.