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Finding the Fourth Proportional to 25,928.30, 35,782.20 and 14,602.40

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Solution

The fourth proportional to 25,928.30, 35,782.20 and 14,602.40 is: 20,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,928.30 : 35,782.20 = 14,602.40 : x
  2. Step 2: Convert to fraction form
    25,928.30/35,782.20 = 14,602.40/x
  3. Step 3: Cross multiply
    25,928.30x = 35,782.20 × 14,602.40
  4. Step 4: Simplify right side
    25,928.30x = 522,505,997.28
  5. Step 5: Solve for x
    x = 522,505,997.28/25,928.30
  6. Step 6: Final answer
    x = 20,151.96

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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.