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Finding the Fourth Proportional to 21,684.96, 29,934 and 14,631.84

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Solution

The fourth proportional to 21,684.96, 29,934 and 14,631.84 is: 20,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.96 : 29,934 = 14,631.84 : x
  2. Step 2: Convert to fraction form
    21,684.96/29,934 = 14,631.84/x
  3. Step 3: Cross multiply
    21,684.96x = 29,934 × 14,631.84
  4. Step 4: Simplify right side
    21,684.96x = 437,989,498.56
  5. Step 5: Solve for x
    x = 437,989,498.56/21,684.96
  6. Step 6: Final answer
    x = 20,197.85

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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.