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Finding the Fourth Proportional to 13,003.85, 17,940.48 and 8,530.09

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Solution

The fourth proportional to 13,003.85, 17,940.48 and 8,530.09 is: 11,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.85 : 17,940.48 = 8,530.09 : x
  2. Step 2: Convert to fraction form
    13,003.85/17,940.48 = 8,530.09/x
  3. Step 3: Cross multiply
    13,003.85x = 17,940.48 × 8,530.09
  4. Step 4: Simplify right side
    13,003.85x = 153,033,909.04
  5. Step 5: Solve for x
    x = 153,033,909.04/13,003.85
  6. Step 6: Final answer
    x = 11,768.35

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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.