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Finding the Fourth Proportional to 16,032.88, 24,052.74 and 9,463.96

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Solution

The fourth proportional to 16,032.88, 24,052.74 and 9,463.96 is: 14,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.88 : 24,052.74 = 9,463.96 : x
  2. Step 2: Convert to fraction form
    16,032.88/24,052.74 = 9,463.96/x
  3. Step 3: Cross multiply
    16,032.88x = 24,052.74 × 9,463.96
  4. Step 4: Simplify right side
    16,032.88x = 227,634,169.25
  5. Step 5: Solve for x
    x = 227,634,169.25/16,032.88
  6. Step 6: Final answer
    x = 14,197.96

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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.