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Finding the Fourth Proportional to 10,781.80, 16,172.70 and 9,356.20

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Solution

The fourth proportional to 10,781.80, 16,172.70 and 9,356.20 is: 14,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.80 : 16,172.70 = 9,356.20 : x
  2. Step 2: Convert to fraction form
    10,781.80/16,172.70 = 9,356.20/x
  3. Step 3: Cross multiply
    10,781.80x = 16,172.70 × 9,356.20
  4. Step 4: Simplify right side
    10,781.80x = 151,315,015.74
  5. Step 5: Solve for x
    x = 151,315,015.74/10,781.80
  6. Step 6: Final answer
    x = 14,034.30

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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.