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Finding the Fourth Proportional to 16,510, 22,783.80 and 9,057.84

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Solution

The fourth proportional to 16,510, 22,783.80 and 9,057.84 is: 12,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510 : 22,783.80 = 9,057.84 : x
  2. Step 2: Convert to fraction form
    16,510/22,783.80 = 9,057.84/x
  3. Step 3: Cross multiply
    16,510x = 22,783.80 × 9,057.84
  4. Step 4: Simplify right side
    16,510x = 206,372,014.99
  5. Step 5: Solve for x
    x = 206,372,014.99/16,510
  6. Step 6: Final answer
    x = 12,499.82

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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.