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Finding the Fourth Proportional to 12,431.68, 18,647.68 and 4,937.08

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Solution

The fourth proportional to 12,431.68, 18,647.68 and 4,937.08 is: 7,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.68 : 18,647.68 = 4,937.08 : x
  2. Step 2: Convert to fraction form
    12,431.68/18,647.68 = 4,937.08/x
  3. Step 3: Cross multiply
    12,431.68x = 18,647.68 × 4,937.08
  4. Step 4: Simplify right side
    12,431.68x = 92,065,087.97
  5. Step 5: Solve for x
    x = 92,065,087.97/12,431.68
  6. Step 6: Final answer
    x = 7,405.68

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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.