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Finding the Fourth Proportional to 16,305.66, 24,458.49 and 7,069.50

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Solution

The fourth proportional to 16,305.66, 24,458.49 and 7,069.50 is: 10,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.66 : 24,458.49 = 7,069.50 : x
  2. Step 2: Convert to fraction form
    16,305.66/24,458.49 = 7,069.50/x
  3. Step 3: Cross multiply
    16,305.66x = 24,458.49 × 7,069.50
  4. Step 4: Simplify right side
    16,305.66x = 172,909,295.06
  5. Step 5: Solve for x
    x = 172,909,295.06/16,305.66
  6. Step 6: Final answer
    x = 10,604.25

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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.