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Finding the Fourth Proportional to 12,308.05, 18,461.46 and 4,516.25

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Solution

The fourth proportional to 12,308.05, 18,461.46 and 4,516.25 is: 6,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.05 : 18,461.46 = 4,516.25 : x
  2. Step 2: Convert to fraction form
    12,308.05/18,461.46 = 4,516.25/x
  3. Step 3: Cross multiply
    12,308.05x = 18,461.46 × 4,516.25
  4. Step 4: Simplify right side
    12,308.05x = 83,376,568.73
  5. Step 5: Solve for x
    x = 83,376,568.73/12,308.05
  6. Step 6: Final answer
    x = 6,774.15

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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.