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Finding the Fourth Proportional to 29,192.40, 40,278.20 and 16,443

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Solution

The fourth proportional to 29,192.40, 40,278.20 and 16,443 is: 22,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,192.40 : 40,278.20 = 16,443 : x
  2. Step 2: Convert to fraction form
    29,192.40/40,278.20 = 16,443/x
  3. Step 3: Cross multiply
    29,192.40x = 40,278.20 × 16,443
  4. Step 4: Simplify right side
    29,192.40x = 662,294,360.39
  5. Step 5: Solve for x
    x = 662,294,360.39/29,192.40
  6. Step 6: Final answer
    x = 22,687.22

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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.