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Finding the Fourth Proportional to 13,003.80, 19,512.45 and 6,078.30

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Solution

The fourth proportional to 13,003.80, 19,512.45 and 6,078.30 is: 9,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.80 : 19,512.45 = 6,078.30 : x
  2. Step 2: Convert to fraction form
    13,003.80/19,512.45 = 6,078.30/x
  3. Step 3: Cross multiply
    13,003.80x = 19,512.45 × 6,078.30
  4. Step 4: Simplify right side
    13,003.80x = 118,602,524.84
  5. Step 5: Solve for x
    x = 118,602,524.84/13,003.80
  6. Step 6: Final answer
    x = 9,120.61

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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.