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Finding the Fourth Proportional to 12,322.36, 17,004.90 and 6,733.48

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Solution

The fourth proportional to 12,322.36, 17,004.90 and 6,733.48 is: 9,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.36 : 17,004.90 = 6,733.48 : x
  2. Step 2: Convert to fraction form
    12,322.36/17,004.90 = 6,733.48/x
  3. Step 3: Cross multiply
    12,322.36x = 17,004.90 × 6,733.48
  4. Step 4: Simplify right side
    12,322.36x = 114,502,154.05
  5. Step 5: Solve for x
    x = 114,502,154.05/12,322.36
  6. Step 6: Final answer
    x = 9,292.23

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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.