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Finding the Fourth Proportional to 21,633.48, 29,853.90 and 12,205.08

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Solution

The fourth proportional to 21,633.48, 29,853.90 and 12,205.08 is: 16,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.48 : 29,853.90 = 12,205.08 : x
  2. Step 2: Convert to fraction form
    21,633.48/29,853.90 = 12,205.08/x
  3. Step 3: Cross multiply
    21,633.48x = 29,853.90 × 12,205.08
  4. Step 4: Simplify right side
    21,633.48x = 364,369,237.81
  5. Step 5: Solve for x
    x = 364,369,237.81/21,633.48
  6. Step 6: Final answer
    x = 16,842.84

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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.