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Finding the Fourth Proportional to 16,783.80, 25,187.10 and 6,922.99

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Solution

The fourth proportional to 16,783.80, 25,187.10 and 6,922.99 is: 10,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.80 : 25,187.10 = 6,922.99 : x
  2. Step 2: Convert to fraction form
    16,783.80/25,187.10 = 6,922.99/x
  3. Step 3: Cross multiply
    16,783.80x = 25,187.10 × 6,922.99
  4. Step 4: Simplify right side
    16,783.80x = 174,370,041.43
  5. Step 5: Solve for x
    x = 174,370,041.43/16,783.80
  6. Step 6: Final answer
    x = 10,389.19

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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.