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Finding the Fourth Proportional to 21,762.33, 30,020.96 and 14,213.08

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Solution

The fourth proportional to 21,762.33, 30,020.96 and 14,213.08 is: 19,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.33 : 30,020.96 = 14,213.08 : x
  2. Step 2: Convert to fraction form
    21,762.33/30,020.96 = 14,213.08/x
  3. Step 3: Cross multiply
    21,762.33x = 30,020.96 × 14,213.08
  4. Step 4: Simplify right side
    21,762.33x = 426,690,337.00
  5. Step 5: Solve for x
    x = 426,690,337.00/21,762.33
  6. Step 6: Final answer
    x = 19,606.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.