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Finding the Fourth Proportional to 29,669.29, 40,943.07 and 16,240.30

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Solution

The fourth proportional to 29,669.29, 40,943.07 and 16,240.30 is: 22,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,669.29 : 40,943.07 = 16,240.30 : x
  2. Step 2: Convert to fraction form
    29,669.29/40,943.07 = 16,240.30/x
  3. Step 3: Cross multiply
    29,669.29x = 40,943.07 × 16,240.30
  4. Step 4: Simplify right side
    29,669.29x = 664,927,637.36
  5. Step 5: Solve for x
    x = 664,927,637.36/29,669.29
  6. Step 6: Final answer
    x = 22,411.31

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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.