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Finding the Fourth Proportional to 16,674.40, 24,989.76 and 6,802

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Solution

The fourth proportional to 16,674.40, 24,989.76 and 6,802 is: 10,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,674.40 : 24,989.76 = 6,802 : x
  2. Step 2: Convert to fraction form
    16,674.40/24,989.76 = 6,802/x
  3. Step 3: Cross multiply
    16,674.40x = 24,989.76 × 6,802
  4. Step 4: Simplify right side
    16,674.40x = 169,980,347.52
  5. Step 5: Solve for x
    x = 169,980,347.52/16,674.40
  6. Step 6: Final answer
    x = 10,194.09

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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.