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Finding the Fourth Proportional to 12,503.26, 17,260.77 and 9,664.22

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Solution

The fourth proportional to 12,503.26, 17,260.77 and 9,664.22 is: 13,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.26 : 17,260.77 = 9,664.22 : x
  2. Step 2: Convert to fraction form
    12,503.26/17,260.77 = 9,664.22/x
  3. Step 3: Cross multiply
    12,503.26x = 17,260.77 × 9,664.22
  4. Step 4: Simplify right side
    12,503.26x = 166,811,921.80
  5. Step 5: Solve for x
    x = 166,811,921.80/12,503.26
  6. Step 6: Final answer
    x = 13,341.47

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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.