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Finding the Fourth Proportional to 16,443, 24,675.44 and 6,054.75

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Solution

The fourth proportional to 16,443, 24,675.44 and 6,054.75 is: 9,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443 : 24,675.44 = 6,054.75 : x
  2. Step 2: Convert to fraction form
    16,443/24,675.44 = 6,054.75/x
  3. Step 3: Cross multiply
    16,443x = 24,675.44 × 6,054.75
  4. Step 4: Simplify right side
    16,443x = 149,403,590.07
  5. Step 5: Solve for x
    x = 149,403,590.07/16,443
  6. Step 6: Final answer
    x = 9,086.15

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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.