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Finding the Fourth Proportional to 12,653.30, 18,977.90 and 5,631.67

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Solution

The fourth proportional to 12,653.30, 18,977.90 and 5,631.67 is: 8,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.30 : 18,977.90 = 5,631.67 : x
  2. Step 2: Convert to fraction form
    12,653.30/18,977.90 = 5,631.67/x
  3. Step 3: Cross multiply
    12,653.30x = 18,977.90 × 5,631.67
  4. Step 4: Simplify right side
    12,653.30x = 106,877,236.73
  5. Step 5: Solve for x
    x = 106,877,236.73/12,653.30
  6. Step 6: Final answer
    x = 8,446.59

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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.