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Finding the Fourth Proportional to 12,146.40, 18,205.92 and 9,216

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Solution

The fourth proportional to 12,146.40, 18,205.92 and 9,216 is: 13,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.40 : 18,205.92 = 9,216 : x
  2. Step 2: Convert to fraction form
    12,146.40/18,205.92 = 9,216/x
  3. Step 3: Cross multiply
    12,146.40x = 18,205.92 × 9,216
  4. Step 4: Simplify right side
    12,146.40x = 167,785,758.72
  5. Step 5: Solve for x
    x = 167,785,758.72/12,146.40
  6. Step 6: Final answer
    x = 13,813.62

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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.