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Finding the Fourth Proportional to 16,285.68, 24,409.08 and 8,892

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Solution

The fourth proportional to 16,285.68, 24,409.08 and 8,892 is: 13,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.68 : 24,409.08 = 8,892 : x
  2. Step 2: Convert to fraction form
    16,285.68/24,409.08 = 8,892/x
  3. Step 3: Cross multiply
    16,285.68x = 24,409.08 × 8,892
  4. Step 4: Simplify right side
    16,285.68x = 217,045,539.36
  5. Step 5: Solve for x
    x = 217,045,539.36/16,285.68
  6. Step 6: Final answer
    x = 13,327.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.