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Finding the Fourth Proportional to 16,234.12, 24,348.54 and 6,366.28

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Solution

The fourth proportional to 16,234.12, 24,348.54 and 6,366.28 is: 9,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.12 : 24,348.54 = 6,366.28 : x
  2. Step 2: Convert to fraction form
    16,234.12/24,348.54 = 6,366.28/x
  3. Step 3: Cross multiply
    16,234.12x = 24,348.54 × 6,366.28
  4. Step 4: Simplify right side
    16,234.12x = 155,009,623.23
  5. Step 5: Solve for x
    x = 155,009,623.23/16,234.12
  6. Step 6: Final answer
    x = 9,548.38

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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.