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Finding the Fourth Proportional to 13,420.14, 20,134.26 and 4,655.14

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Solution

The fourth proportional to 13,420.14, 20,134.26 and 4,655.14 is: 6,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.14 : 20,134.26 = 4,655.14 : x
  2. Step 2: Convert to fraction form
    13,420.14/20,134.26 = 4,655.14/x
  3. Step 3: Cross multiply
    13,420.14x = 20,134.26 × 4,655.14
  4. Step 4: Simplify right side
    13,420.14x = 93,727,799.10
  5. Step 5: Solve for x
    x = 93,727,799.10/13,420.14
  6. Step 6: Final answer
    x = 6,984.11

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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.