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Finding the Fourth Proportional to 16,539.50, 24,809.65 and 4,853.09

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Solution

The fourth proportional to 16,539.50, 24,809.65 and 4,853.09 is: 7,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.50 : 24,809.65 = 4,853.09 : x
  2. Step 2: Convert to fraction form
    16,539.50/24,809.65 = 4,853.09/x
  3. Step 3: Cross multiply
    16,539.50x = 24,809.65 × 4,853.09
  4. Step 4: Simplify right side
    16,539.50x = 120,403,464.32
  5. Step 5: Solve for x
    x = 120,403,464.32/16,539.50
  6. Step 6: Final answer
    x = 7,279.75

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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.