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Finding the Fourth Proportional to 29,634.86, 40,895.69 and 16,205.77

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Solution

The fourth proportional to 29,634.86, 40,895.69 and 16,205.77 is: 22,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,634.86 : 40,895.69 = 16,205.77 : x
  2. Step 2: Convert to fraction form
    29,634.86/40,895.69 = 16,205.77/x
  3. Step 3: Cross multiply
    29,634.86x = 40,895.69 × 16,205.77
  4. Step 4: Simplify right side
    29,634.86x = 662,746,116.22
  5. Step 5: Solve for x
    x = 662,746,116.22/29,634.86
  6. Step 6: Final answer
    x = 22,363.73

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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.