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Finding the Fourth Proportional to 12,385.64, 18,576.54 and 3,618.76

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Solution

The fourth proportional to 12,385.64, 18,576.54 and 3,618.76 is: 5,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.64 : 18,576.54 = 3,618.76 : x
  2. Step 2: Convert to fraction form
    12,385.64/18,576.54 = 3,618.76/x
  3. Step 3: Cross multiply
    12,385.64x = 18,576.54 × 3,618.76
  4. Step 4: Simplify right side
    12,385.64x = 67,224,039.89
  5. Step 5: Solve for x
    x = 67,224,039.89/12,385.64
  6. Step 6: Final answer
    x = 5,427.58

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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.