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Finding the Fourth Proportional to 12,277.89, 18,412.92 and 4,880.16

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Solution

The fourth proportional to 12,277.89, 18,412.92 and 4,880.16 is: 7,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.89 : 18,412.92 = 4,880.16 : x
  2. Step 2: Convert to fraction form
    12,277.89/18,412.92 = 4,880.16/x
  3. Step 3: Cross multiply
    12,277.89x = 18,412.92 × 4,880.16
  4. Step 4: Simplify right side
    12,277.89x = 89,857,995.67
  5. Step 5: Solve for x
    x = 89,857,995.67/12,277.89
  6. Step 6: Final answer
    x = 7,318.68

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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.