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Finding the Fourth Proportional to 25,194.64, 34,761.54 and 14,583.64

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Solution

The fourth proportional to 25,194.64, 34,761.54 and 14,583.64 is: 20,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194.64 : 34,761.54 = 14,583.64 : x
  2. Step 2: Convert to fraction form
    25,194.64/34,761.54 = 14,583.64/x
  3. Step 3: Cross multiply
    25,194.64x = 34,761.54 × 14,583.64
  4. Step 4: Simplify right side
    25,194.64x = 506,949,785.21
  5. Step 5: Solve for x
    x = 506,949,785.21/25,194.64
  6. Step 6: Final answer
    x = 20,121.33

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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.