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Finding the Fourth Proportional to 29,852.80, 41,196.87 and 16,423.77

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Solution

The fourth proportional to 29,852.80, 41,196.87 and 16,423.77 is: 22,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852.80 : 41,196.87 = 16,423.77 : x
  2. Step 2: Convert to fraction form
    29,852.80/41,196.87 = 16,423.77/x
  3. Step 3: Cross multiply
    29,852.80x = 41,196.87 × 16,423.77
  4. Step 4: Simplify right side
    29,852.80x = 676,607,732.49
  5. Step 5: Solve for x
    x = 676,607,732.49/29,852.80
  6. Step 6: Final answer
    x = 22,664.80

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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.