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Finding the Fourth Proportional to 12,265.12, 18,384 and 4,867.60

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Solution

The fourth proportional to 12,265.12, 18,384 and 4,867.60 is: 7,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.12 : 18,384 = 4,867.60 : x
  2. Step 2: Convert to fraction form
    12,265.12/18,384 = 4,867.60/x
  3. Step 3: Cross multiply
    12,265.12x = 18,384 × 4,867.60
  4. Step 4: Simplify right side
    12,265.12x = 89,485,958.40
  5. Step 5: Solve for x
    x = 89,485,958.40/12,265.12
  6. Step 6: Final answer
    x = 7,295.97

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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.