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Finding the Fourth Proportional to 11,322.80, 16,984.20 and 3,114.80

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Solution

The fourth proportional to 11,322.80, 16,984.20 and 3,114.80 is: 4,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.80 : 16,984.20 = 3,114.80 : x
  2. Step 2: Convert to fraction form
    11,322.80/16,984.20 = 3,114.80/x
  3. Step 3: Cross multiply
    11,322.80x = 16,984.20 × 3,114.80
  4. Step 4: Simplify right side
    11,322.80x = 52,902,386.16
  5. Step 5: Solve for x
    x = 52,902,386.16/11,322.80
  6. Step 6: Final answer
    x = 4,672.20

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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.