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Finding the Fourth Proportional to 22,295.43, 30,761.10 and 12,735

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Solution

The fourth proportional to 22,295.43, 30,761.10 and 12,735 is: 17,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.43 : 30,761.10 = 12,735 : x
  2. Step 2: Convert to fraction form
    22,295.43/30,761.10 = 12,735/x
  3. Step 3: Cross multiply
    22,295.43x = 30,761.10 × 12,735
  4. Step 4: Simplify right side
    22,295.43x = 391,742,608.50
  5. Step 5: Solve for x
    x = 391,742,608.50/22,295.43
  6. Step 6: Final answer
    x = 17,570.53

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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.