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Finding the Fourth Proportional to 16,649.01, 22,977.66 and 10,678.50

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Solution

The fourth proportional to 16,649.01, 22,977.66 and 10,678.50 is: 14,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.01 : 22,977.66 = 10,678.50 : x
  2. Step 2: Convert to fraction form
    16,649.01/22,977.66 = 10,678.50/x
  3. Step 3: Cross multiply
    16,649.01x = 22,977.66 × 10,678.50
  4. Step 4: Simplify right side
    16,649.01x = 245,366,942.31
  5. Step 5: Solve for x
    x = 245,366,942.31/16,649.01
  6. Step 6: Final answer
    x = 14,737.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.