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Finding the Fourth Proportional to 21,902.04, 30,225 and 12,471.24

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Solution

The fourth proportional to 21,902.04, 30,225 and 12,471.24 is: 17,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.04 : 30,225 = 12,471.24 : x
  2. Step 2: Convert to fraction form
    21,902.04/30,225 = 12,471.24/x
  3. Step 3: Cross multiply
    21,902.04x = 30,225 × 12,471.24
  4. Step 4: Simplify right side
    21,902.04x = 376,943,229
  5. Step 5: Solve for x
    x = 376,943,229/21,902.04
  6. Step 6: Final answer
    x = 17,210.42

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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.