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Finding the Fourth Proportional to 13,003.20, 19,519.20 and 8,078.40

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Solution

The fourth proportional to 13,003.20, 19,519.20 and 8,078.40 is: 12,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.20 : 19,519.20 = 8,078.40 : x
  2. Step 2: Convert to fraction form
    13,003.20/19,519.20 = 8,078.40/x
  3. Step 3: Cross multiply
    13,003.20x = 19,519.20 × 8,078.40
  4. Step 4: Simplify right side
    13,003.20x = 157,683,905.28
  5. Step 5: Solve for x
    x = 157,683,905.28/13,003.20
  6. Step 6: Final answer
    x = 12,126.55

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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.