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Finding the Fourth Proportional to 13,004.72, 17,903.12 and 12,409.64

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Solution

The fourth proportional to 13,004.72, 17,903.12 and 12,409.64 is: 17,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.72 : 17,903.12 = 12,409.64 : x
  2. Step 2: Convert to fraction form
    13,004.72/17,903.12 = 12,409.64/x
  3. Step 3: Cross multiply
    13,004.72x = 17,903.12 × 12,409.64
  4. Step 4: Simplify right side
    13,004.72x = 222,171,122.51
  5. Step 5: Solve for x
    x = 222,171,122.51/13,004.72
  6. Step 6: Final answer
    x = 17,083.89

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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.