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Finding the Fourth Proportional to 16,133.16, 24,206 and 6,279.36

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Solution

The fourth proportional to 16,133.16, 24,206 and 6,279.36 is: 9,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.16 : 24,206 = 6,279.36 : x
  2. Step 2: Convert to fraction form
    16,133.16/24,206 = 6,279.36/x
  3. Step 3: Cross multiply
    16,133.16x = 24,206 × 6,279.36
  4. Step 4: Simplify right side
    16,133.16x = 151,998,188.16
  5. Step 5: Solve for x
    x = 151,998,188.16/16,133.16
  6. Step 6: Final answer
    x = 9,421.48

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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.