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Finding the Fourth Proportional to 29,638.19, 40,899.20 and 16,206.84

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Solution

The fourth proportional to 29,638.19, 40,899.20 and 16,206.84 is: 22,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,638.19 : 40,899.20 = 16,206.84 : x
  2. Step 2: Convert to fraction form
    29,638.19/40,899.20 = 16,206.84/x
  3. Step 3: Cross multiply
    29,638.19x = 40,899.20 × 16,206.84
  4. Step 4: Simplify right side
    29,638.19x = 662,846,709.49
  5. Step 5: Solve for x
    x = 662,846,709.49/29,638.19
  6. Step 6: Final answer
    x = 22,364.61

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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.