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Finding the Fourth Proportional to 13,420, 20,133.57 and 4,654.90

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Solution

The fourth proportional to 13,420, 20,133.57 and 4,654.90 is: 6,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420 : 20,133.57 = 4,654.90 : x
  2. Step 2: Convert to fraction form
    13,420/20,133.57 = 4,654.90/x
  3. Step 3: Cross multiply
    13,420x = 20,133.57 × 4,654.90
  4. Step 4: Simplify right side
    13,420x = 93,719,754.99
  5. Step 5: Solve for x
    x = 93,719,754.99/13,420
  6. Step 6: Final answer
    x = 6,983.59

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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.