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Finding the Fourth Proportional to 12,380.34, 18,572.31 and 4,483.46

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Solution

The fourth proportional to 12,380.34, 18,572.31 and 4,483.46 is: 6,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.34 : 18,572.31 = 4,483.46 : x
  2. Step 2: Convert to fraction form
    12,380.34/18,572.31 = 4,483.46/x
  3. Step 3: Cross multiply
    12,380.34x = 18,572.31 × 4,483.46
  4. Step 4: Simplify right side
    12,380.34x = 83,268,116.13
  5. Step 5: Solve for x
    x = 83,268,116.13/12,380.34
  6. Step 6: Final answer
    x = 6,725.83

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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.