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Finding the Fourth Proportional to 21,646.83, 29,872.50 and 12,086.17

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Solution

The fourth proportional to 21,646.83, 29,872.50 and 12,086.17 is: 16,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.83 : 29,872.50 = 12,086.17 : x
  2. Step 2: Convert to fraction form
    21,646.83/29,872.50 = 12,086.17/x
  3. Step 3: Cross multiply
    21,646.83x = 29,872.50 × 12,086.17
  4. Step 4: Simplify right side
    21,646.83x = 361,043,963.96
  5. Step 5: Solve for x
    x = 361,043,963.96/21,646.83
  6. Step 6: Final answer
    x = 16,678.84

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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.