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Finding the Fourth Proportional to 16,457.01, 24,687.44 and 5,780.09

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Solution

The fourth proportional to 16,457.01, 24,687.44 and 5,780.09 is: 8,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.01 : 24,687.44 = 5,780.09 : x
  2. Step 2: Convert to fraction form
    16,457.01/24,687.44 = 5,780.09/x
  3. Step 3: Cross multiply
    16,457.01x = 24,687.44 × 5,780.09
  4. Step 4: Simplify right side
    16,457.01x = 142,695,625.07
  5. Step 5: Solve for x
    x = 142,695,625.07/16,457.01
  6. Step 6: Final answer
    x = 8,670.81

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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.