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Finding the Fourth Proportional to 12,272.80, 18,428.40 and 7,088.80

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Solution

The fourth proportional to 12,272.80, 18,428.40 and 7,088.80 is: 10,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.80 : 18,428.40 = 7,088.80 : x
  2. Step 2: Convert to fraction form
    12,272.80/18,428.40 = 7,088.80/x
  3. Step 3: Cross multiply
    12,272.80x = 18,428.40 × 7,088.80
  4. Step 4: Simplify right side
    12,272.80x = 130,635,241.92
  5. Step 5: Solve for x
    x = 130,635,241.92/12,272.80
  6. Step 6: Final answer
    x = 10,644.29

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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.