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Finding the Fourth Proportional to 16,133.82, 24,197.08 and 6,134.99

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Solution

The fourth proportional to 16,133.82, 24,197.08 and 6,134.99 is: 9,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.82 : 24,197.08 = 6,134.99 : x
  2. Step 2: Convert to fraction form
    16,133.82/24,197.08 = 6,134.99/x
  3. Step 3: Cross multiply
    16,133.82x = 24,197.08 × 6,134.99
  4. Step 4: Simplify right side
    16,133.82x = 148,448,855.12
  5. Step 5: Solve for x
    x = 148,448,855.12/16,133.82
  6. Step 6: Final answer
    x = 9,201.10

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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.