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Finding the Fourth Proportional to 12,810.40, 19,231.80 and 11,938.30

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Solution

The fourth proportional to 12,810.40, 19,231.80 and 11,938.30 is: 17,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.40 : 19,231.80 = 11,938.30 : x
  2. Step 2: Convert to fraction form
    12,810.40/19,231.80 = 11,938.30/x
  3. Step 3: Cross multiply
    12,810.40x = 19,231.80 × 11,938.30
  4. Step 4: Simplify right side
    12,810.40x = 229,594,997.94
  5. Step 5: Solve for x
    x = 229,594,997.94/12,810.40
  6. Step 6: Final answer
    x = 17,922.55

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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.