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Finding the Fourth Proportional to 30,233.13, 41,721 and 16,804.26

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Solution

The fourth proportional to 30,233.13, 41,721 and 16,804.26 is: 23,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.13 : 41,721 = 16,804.26 : x
  2. Step 2: Convert to fraction form
    30,233.13/41,721 = 16,804.26/x
  3. Step 3: Cross multiply
    30,233.13x = 41,721 × 16,804.26
  4. Step 4: Simplify right side
    30,233.13x = 701,090,531.46
  5. Step 5: Solve for x
    x = 701,090,531.46/30,233.13
  6. Step 6: Final answer
    x = 23,189.48

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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.