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Finding the Fourth Proportional to 21,714.81, 29,976.65 and 16,339.24

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Solution

The fourth proportional to 21,714.81, 29,976.65 and 16,339.24 is: 22,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.81 : 29,976.65 = 16,339.24 : x
  2. Step 2: Convert to fraction form
    21,714.81/29,976.65 = 16,339.24/x
  3. Step 3: Cross multiply
    21,714.81x = 29,976.65 × 16,339.24
  4. Step 4: Simplify right side
    21,714.81x = 489,795,678.75
  5. Step 5: Solve for x
    x = 489,795,678.75/21,714.81
  6. Step 6: Final answer
    x = 22,555.84

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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.