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Finding the Fourth Proportional to 16,376.89, 24,570.53 and 5,846.68

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Solution

The fourth proportional to 16,376.89, 24,570.53 and 5,846.68 is: 8,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.89 : 24,570.53 = 5,846.68 : x
  2. Step 2: Convert to fraction form
    16,376.89/24,570.53 = 5,846.68/x
  3. Step 3: Cross multiply
    16,376.89x = 24,570.53 × 5,846.68
  4. Step 4: Simplify right side
    16,376.89x = 143,656,026.34
  5. Step 5: Solve for x
    x = 143,656,026.34/16,376.89
  6. Step 6: Final answer
    x = 8,771.87

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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.