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Finding the Fourth Proportional to 21,675.33, 32,505.84 and 8,345.16

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Solution

The fourth proportional to 21,675.33, 32,505.84 and 8,345.16 is: 12,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.33 : 32,505.84 = 8,345.16 : x
  2. Step 2: Convert to fraction form
    21,675.33/32,505.84 = 8,345.16/x
  3. Step 3: Cross multiply
    21,675.33x = 32,505.84 × 8,345.16
  4. Step 4: Simplify right side
    21,675.33x = 271,266,435.73
  5. Step 5: Solve for x
    x = 271,266,435.73/21,675.33
  6. Step 6: Final answer
    x = 12,514.99

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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.