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Finding the Fourth Proportional to 12,902.33, 19,353.68 and 3,668.33

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Solution

The fourth proportional to 12,902.33, 19,353.68 and 3,668.33 is: 5,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.33 : 19,353.68 = 3,668.33 : x
  2. Step 2: Convert to fraction form
    12,902.33/19,353.68 = 3,668.33/x
  3. Step 3: Cross multiply
    12,902.33x = 19,353.68 × 3,668.33
  4. Step 4: Simplify right side
    12,902.33x = 70,995,666.61
  5. Step 5: Solve for x
    x = 70,995,666.61/12,902.33
  6. Step 6: Final answer
    x = 5,502.55

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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.