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Finding the Fourth Proportional to 22,714.28, 34,028.56 and 11,628

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Solution

The fourth proportional to 22,714.28, 34,028.56 and 11,628 is: 17,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.28 : 34,028.56 = 11,628 : x
  2. Step 2: Convert to fraction form
    22,714.28/34,028.56 = 11,628/x
  3. Step 3: Cross multiply
    22,714.28x = 34,028.56 × 11,628
  4. Step 4: Simplify right side
    22,714.28x = 395,684,095.68
  5. Step 5: Solve for x
    x = 395,684,095.68/22,714.28
  6. Step 6: Final answer
    x = 17,420.06

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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.