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Finding the Fourth Proportional to 16,640.44, 24,953.76 and 6,773

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Solution

The fourth proportional to 16,640.44, 24,953.76 and 6,773 is: 10,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640.44 : 24,953.76 = 6,773 : x
  2. Step 2: Convert to fraction form
    16,640.44/24,953.76 = 6,773/x
  3. Step 3: Cross multiply
    16,640.44x = 24,953.76 × 6,773
  4. Step 4: Simplify right side
    16,640.44x = 169,011,816.48
  5. Step 5: Solve for x
    x = 169,011,816.48/16,640.44
  6. Step 6: Final answer
    x = 10,156.69

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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.