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Finding the Fourth Proportional to 30,214.12, 41,700 and 21,744.28

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Solution

The fourth proportional to 30,214.12, 41,700 and 21,744.28 is: 30,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.12 : 41,700 = 21,744.28 : x
  2. Step 2: Convert to fraction form
    30,214.12/41,700 = 21,744.28/x
  3. Step 3: Cross multiply
    30,214.12x = 41,700 × 21,744.28
  4. Step 4: Simplify right side
    30,214.12x = 906,736,476
  5. Step 5: Solve for x
    x = 906,736,476/30,214.12
  6. Step 6: Final answer
    x = 30,010.36

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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.