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Finding the Fourth Proportional to 12,273.57, 18,417.65 and 6,433.47

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Solution

The fourth proportional to 12,273.57, 18,417.65 and 6,433.47 is: 9,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.57 : 18,417.65 = 6,433.47 : x
  2. Step 2: Convert to fraction form
    12,273.57/18,417.65 = 6,433.47/x
  3. Step 3: Cross multiply
    12,273.57x = 18,417.65 × 6,433.47
  4. Step 4: Simplify right side
    12,273.57x = 118,489,366.58
  5. Step 5: Solve for x
    x = 118,489,366.58/12,273.57
  6. Step 6: Final answer
    x = 9,654.03

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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.