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Finding the Fourth Proportional to 13,678.66, 20,517.63 and 4,318.30

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Solution

The fourth proportional to 13,678.66, 20,517.63 and 4,318.30 is: 6,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.66 : 20,517.63 = 4,318.30 : x
  2. Step 2: Convert to fraction form
    13,678.66/20,517.63 = 4,318.30/x
  3. Step 3: Cross multiply
    13,678.66x = 20,517.63 × 4,318.30
  4. Step 4: Simplify right side
    13,678.66x = 88,601,281.63
  5. Step 5: Solve for x
    x = 88,601,281.63/13,678.66
  6. Step 6: Final answer
    x = 6,477.34

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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.