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Finding the Fourth Proportional to 21,902.08, 30,224.64 and 11,966.08

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Solution

The fourth proportional to 21,902.08, 30,224.64 and 11,966.08 is: 16,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.08 : 30,224.64 = 11,966.08 : x
  2. Step 2: Convert to fraction form
    21,902.08/30,224.64 = 11,966.08/x
  3. Step 3: Cross multiply
    21,902.08x = 30,224.64 × 11,966.08
  4. Step 4: Simplify right side
    21,902.08x = 361,670,460.21
  5. Step 5: Solve for x
    x = 361,670,460.21/21,902.08
  6. Step 6: Final answer
    x = 16,513.06

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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.