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Finding the Fourth Proportional to 16,805.83, 25,192.05 and 8,030.50

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Solution

The fourth proportional to 16,805.83, 25,192.05 and 8,030.50 is: 12,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.83 : 25,192.05 = 8,030.50 : x
  2. Step 2: Convert to fraction form
    16,805.83/25,192.05 = 8,030.50/x
  3. Step 3: Cross multiply
    16,805.83x = 25,192.05 × 8,030.50
  4. Step 4: Simplify right side
    16,805.83x = 202,304,757.53
  5. Step 5: Solve for x
    x = 202,304,757.53/16,805.83
  6. Step 6: Final answer
    x = 12,037.77

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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.