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Finding the Fourth Proportional to 12,271.68, 18,402.66 and 6,433.20

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Solution

The fourth proportional to 12,271.68, 18,402.66 and 6,433.20 is: 9,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.68 : 18,402.66 = 6,433.20 : x
  2. Step 2: Convert to fraction form
    12,271.68/18,402.66 = 6,433.20/x
  3. Step 3: Cross multiply
    12,271.68x = 18,402.66 × 6,433.20
  4. Step 4: Simplify right side
    12,271.68x = 118,387,992.31
  5. Step 5: Solve for x
    x = 118,387,992.31/12,271.68
  6. Step 6: Final answer
    x = 9,647.25

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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.