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Finding the Fourth Proportional to 29,617.47, 40,873.21 and 16,189.63

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Solution

The fourth proportional to 29,617.47, 40,873.21 and 16,189.63 is: 22,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,617.47 : 40,873.21 = 16,189.63 : x
  2. Step 2: Convert to fraction form
    29,617.47/40,873.21 = 16,189.63/x
  3. Step 3: Cross multiply
    29,617.47x = 40,873.21 × 16,189.63
  4. Step 4: Simplify right side
    29,617.47x = 661,722,004.16
  5. Step 5: Solve for x
    x = 661,722,004.16/29,617.47
  6. Step 6: Final answer
    x = 22,342.29

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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.