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Finding the Fourth Proportional to 16,366.37, 24,549.66 and 6,998.50

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Solution

The fourth proportional to 16,366.37, 24,549.66 and 6,998.50 is: 10,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366.37 : 24,549.66 = 6,998.50 : x
  2. Step 2: Convert to fraction form
    16,366.37/24,549.66 = 6,998.50/x
  3. Step 3: Cross multiply
    16,366.37x = 24,549.66 × 6,998.50
  4. Step 4: Simplify right side
    16,366.37x = 171,810,795.51
  5. Step 5: Solve for x
    x = 171,810,795.51/16,366.37
  6. Step 6: Final answer
    x = 10,497.79

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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.