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Finding the Fourth Proportional to 16,002.10, 24,008.55 and 7,687.30

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Solution

The fourth proportional to 16,002.10, 24,008.55 and 7,687.30 is: 11,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.10 : 24,008.55 = 7,687.30 : x
  2. Step 2: Convert to fraction form
    16,002.10/24,008.55 = 7,687.30/x
  3. Step 3: Cross multiply
    16,002.10x = 24,008.55 × 7,687.30
  4. Step 4: Simplify right side
    16,002.10x = 184,560,926.42
  5. Step 5: Solve for x
    x = 184,560,926.42/16,002.10
  6. Step 6: Final answer
    x = 11,533.54

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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.