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Finding the Fourth Proportional to 13,772.40, 20,658.60 and 9,603.60

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Solution

The fourth proportional to 13,772.40, 20,658.60 and 9,603.60 is: 14,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.40 : 20,658.60 = 9,603.60 : x
  2. Step 2: Convert to fraction form
    13,772.40/20,658.60 = 9,603.60/x
  3. Step 3: Cross multiply
    13,772.40x = 20,658.60 × 9,603.60
  4. Step 4: Simplify right side
    13,772.40x = 198,396,930.96
  5. Step 5: Solve for x
    x = 198,396,930.96/13,772.40
  6. Step 6: Final answer
    x = 14,405.40

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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.