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Finding the Fourth Proportional to 21,725.46, 32,590.86 and 7,682.58

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Solution

The fourth proportional to 21,725.46, 32,590.86 and 7,682.58 is: 11,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725.46 : 32,590.86 = 7,682.58 : x
  2. Step 2: Convert to fraction form
    21,725.46/32,590.86 = 7,682.58/x
  3. Step 3: Cross multiply
    21,725.46x = 32,590.86 × 7,682.58
  4. Step 4: Simplify right side
    21,725.46x = 250,381,889.22
  5. Step 5: Solve for x
    x = 250,381,889.22/21,725.46
  6. Step 6: Final answer
    x = 11,524.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.