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Finding the Fourth Proportional to 16,285.98, 24,428.89 and 6,924.54

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Solution

The fourth proportional to 16,285.98, 24,428.89 and 6,924.54 is: 10,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.98 : 24,428.89 = 6,924.54 : x
  2. Step 2: Convert to fraction form
    16,285.98/24,428.89 = 6,924.54/x
  3. Step 3: Cross multiply
    16,285.98x = 24,428.89 × 6,924.54
  4. Step 4: Simplify right side
    16,285.98x = 169,158,825.96
  5. Step 5: Solve for x
    x = 169,158,825.96/16,285.98
  6. Step 6: Final answer
    x = 10,386.78

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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.