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Finding the Fourth Proportional to 16,501.50, 24,754.31 and 5,409.32

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Solution

The fourth proportional to 16,501.50, 24,754.31 and 5,409.32 is: 8,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.50 : 24,754.31 = 5,409.32 : x
  2. Step 2: Convert to fraction form
    16,501.50/24,754.31 = 5,409.32/x
  3. Step 3: Cross multiply
    16,501.50x = 24,754.31 × 5,409.32
  4. Step 4: Simplify right side
    16,501.50x = 133,903,833.35
  5. Step 5: Solve for x
    x = 133,903,833.35/16,501.50
  6. Step 6: Final answer
    x = 8,114.65

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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.