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Finding the Fourth Proportional to 20,274.66, 30,426.58 and 7,138.08

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Solution

The fourth proportional to 20,274.66, 30,426.58 and 7,138.08 is: 10,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.66 : 30,426.58 = 7,138.08 : x
  2. Step 2: Convert to fraction form
    20,274.66/30,426.58 = 7,138.08/x
  3. Step 3: Cross multiply
    20,274.66x = 30,426.58 × 7,138.08
  4. Step 4: Simplify right side
    20,274.66x = 217,187,362.17
  5. Step 5: Solve for x
    x = 217,187,362.17/20,274.66
  6. Step 6: Final answer
    x = 10,712.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.