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Finding the Fourth Proportional to 21,461.53, 32,173.32 and 8,125.26

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Solution

The fourth proportional to 21,461.53, 32,173.32 and 8,125.26 is: 12,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.53 : 32,173.32 = 8,125.26 : x
  2. Step 2: Convert to fraction form
    21,461.53/32,173.32 = 8,125.26/x
  3. Step 3: Cross multiply
    21,461.53x = 32,173.32 × 8,125.26
  4. Step 4: Simplify right side
    21,461.53x = 261,416,590.06
  5. Step 5: Solve for x
    x = 261,416,590.06/21,461.53
  6. Step 6: Final answer
    x = 12,180.71

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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.