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Finding the Fourth Proportional to 16,277.44, 24,401.76 and 7,952.80

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Solution

The fourth proportional to 16,277.44, 24,401.76 and 7,952.80 is: 11,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.44 : 24,401.76 = 7,952.80 : x
  2. Step 2: Convert to fraction form
    16,277.44/24,401.76 = 7,952.80/x
  3. Step 3: Cross multiply
    16,277.44x = 24,401.76 × 7,952.80
  4. Step 4: Simplify right side
    16,277.44x = 194,062,316.93
  5. Step 5: Solve for x
    x = 194,062,316.93/16,277.44
  6. Step 6: Final answer
    x = 11,922.16

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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.