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Finding the Fourth Proportional to 13,078.50, 18,048.34 and 7,489.50

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Solution

The fourth proportional to 13,078.50, 18,048.34 and 7,489.50 is: 10,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.50 : 18,048.34 = 7,489.50 : x
  2. Step 2: Convert to fraction form
    13,078.50/18,048.34 = 7,489.50/x
  3. Step 3: Cross multiply
    13,078.50x = 18,048.34 × 7,489.50
  4. Step 4: Simplify right side
    13,078.50x = 135,173,042.43
  5. Step 5: Solve for x
    x = 135,173,042.43/13,078.50
  6. Step 6: Final answer
    x = 10,335.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.