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Finding the Fourth Proportional to 29,634.86, 40,896.10 and 16,206.12

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Solution

The fourth proportional to 29,634.86, 40,896.10 and 16,206.12 is: 22,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,634.86 : 40,896.10 = 16,206.12 : x
  2. Step 2: Convert to fraction form
    29,634.86/40,896.10 = 16,206.12/x
  3. Step 3: Cross multiply
    29,634.86x = 40,896.10 × 16,206.12
  4. Step 4: Simplify right side
    29,634.86x = 662,767,104.13
  5. Step 5: Solve for x
    x = 662,767,104.13/29,634.86
  6. Step 6: Final answer
    x = 22,364.44

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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.