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Finding the Fourth Proportional to 16,589.12, 24,884.16 and 4,277.12

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Solution

The fourth proportional to 16,589.12, 24,884.16 and 4,277.12 is: 6,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.12 : 24,884.16 = 4,277.12 : x
  2. Step 2: Convert to fraction form
    16,589.12/24,884.16 = 4,277.12/x
  3. Step 3: Cross multiply
    16,589.12x = 24,884.16 × 4,277.12
  4. Step 4: Simplify right side
    16,589.12x = 106,432,538.42
  5. Step 5: Solve for x
    x = 106,432,538.42/16,589.12
  6. Step 6: Final answer
    x = 6,415.80

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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.