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Finding the Fourth Proportional to 29,685.23, 40,965.05 and 16,256.24

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Solution

The fourth proportional to 29,685.23, 40,965.05 and 16,256.24 is: 22,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.23 : 40,965.05 = 16,256.24 : x
  2. Step 2: Convert to fraction form
    29,685.23/40,965.05 = 16,256.24/x
  3. Step 3: Cross multiply
    29,685.23x = 40,965.05 × 16,256.24
  4. Step 4: Simplify right side
    29,685.23x = 665,937,398.31
  5. Step 5: Solve for x
    x = 665,937,398.31/29,685.23
  6. Step 6: Final answer
    x = 22,433.29

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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.