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Finding the Fourth Proportional to 16,021.80, 24,032.70 and 6,805.80

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Solution

The fourth proportional to 16,021.80, 24,032.70 and 6,805.80 is: 10,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.80 : 24,032.70 = 6,805.80 : x
  2. Step 2: Convert to fraction form
    16,021.80/24,032.70 = 6,805.80/x
  3. Step 3: Cross multiply
    16,021.80x = 24,032.70 × 6,805.80
  4. Step 4: Simplify right side
    16,021.80x = 163,561,749.66
  5. Step 5: Solve for x
    x = 163,561,749.66/16,021.80
  6. Step 6: Final answer
    x = 10,208.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.