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Finding the Fourth Proportional to 23,077.80, 31,639.64 and 22,657.41

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Solution

The fourth proportional to 23,077.80, 31,639.64 and 22,657.41 is: 31,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.80 : 31,639.64 = 22,657.41 : x
  2. Step 2: Convert to fraction form
    23,077.80/31,639.64 = 22,657.41/x
  3. Step 3: Cross multiply
    23,077.80x = 31,639.64 × 22,657.41
  4. Step 4: Simplify right side
    23,077.80x = 716,872,182.45
  5. Step 5: Solve for x
    x = 716,872,182.45/23,077.80
  6. Step 6: Final answer
    x = 31,063.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.