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Finding the Fourth Proportional to 21,705.41, 32,514.43 and 16,449.41

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Solution

The fourth proportional to 21,705.41, 32,514.43 and 16,449.41 is: 24,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.41 : 32,514.43 = 16,449.41 : x
  2. Step 2: Convert to fraction form
    21,705.41/32,514.43 = 16,449.41/x
  3. Step 3: Cross multiply
    21,705.41x = 32,514.43 × 16,449.41
  4. Step 4: Simplify right side
    21,705.41x = 534,843,189.99
  5. Step 5: Solve for x
    x = 534,843,189.99/21,705.41
  6. Step 6: Final answer
    x = 24,641.01

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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.