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Finding the Fourth Proportional to 10,805.40, 16,169.70 and 9,883.80

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Solution

The fourth proportional to 10,805.40, 16,169.70 and 9,883.80 is: 14,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.40 : 16,169.70 = 9,883.80 : x
  2. Step 2: Convert to fraction form
    10,805.40/16,169.70 = 9,883.80/x
  3. Step 3: Cross multiply
    10,805.40x = 16,169.70 × 9,883.80
  4. Step 4: Simplify right side
    10,805.40x = 159,818,080.86
  5. Step 5: Solve for x
    x = 159,818,080.86/10,805.40
  6. Step 6: Final answer
    x = 14,790.58

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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.