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Finding the Fourth Proportional to 22,358.90, 30,856.14 and 12,800.30

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Solution

The fourth proportional to 22,358.90, 30,856.14 and 12,800.30 is: 17,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.90 : 30,856.14 = 12,800.30 : x
  2. Step 2: Convert to fraction form
    22,358.90/30,856.14 = 12,800.30/x
  3. Step 3: Cross multiply
    22,358.90x = 30,856.14 × 12,800.30
  4. Step 4: Simplify right side
    22,358.90x = 394,967,694.56
  5. Step 5: Solve for x
    x = 394,967,694.56/22,358.90
  6. Step 6: Final answer
    x = 17,664.90

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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.