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Finding the Fourth Proportional to 21,207.33, 31,768.53 and 12,769.14

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Solution

The fourth proportional to 21,207.33, 31,768.53 and 12,769.14 is: 19,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207.33 : 31,768.53 = 12,769.14 : x
  2. Step 2: Convert to fraction form
    21,207.33/31,768.53 = 12,769.14/x
  3. Step 3: Cross multiply
    21,207.33x = 31,768.53 × 12,769.14
  4. Step 4: Simplify right side
    21,207.33x = 405,656,807.16
  5. Step 5: Solve for x
    x = 405,656,807.16/21,207.33
  6. Step 6: Final answer
    x = 19,128.14

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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.