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Finding the Fourth Proportional to 21,714.42, 29,965.32 and 12,759.84

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Solution

The fourth proportional to 21,714.42, 29,965.32 and 12,759.84 is: 17,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.42 : 29,965.32 = 12,759.84 : x
  2. Step 2: Convert to fraction form
    21,714.42/29,965.32 = 12,759.84/x
  3. Step 3: Cross multiply
    21,714.42x = 29,965.32 × 12,759.84
  4. Step 4: Simplify right side
    21,714.42x = 382,352,688.75
  5. Step 5: Solve for x
    x = 382,352,688.75/21,714.42
  6. Step 6: Final answer
    x = 17,608.24

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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.