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Finding the Fourth Proportional to 12,606.35, 18,895.30 and 5,585.44

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Solution

The fourth proportional to 12,606.35, 18,895.30 and 5,585.44 is: 8,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.35 : 18,895.30 = 5,585.44 : x
  2. Step 2: Convert to fraction form
    12,606.35/18,895.30 = 5,585.44/x
  3. Step 3: Cross multiply
    12,606.35x = 18,895.30 × 5,585.44
  4. Step 4: Simplify right side
    12,606.35x = 105,538,458.11
  5. Step 5: Solve for x
    x = 105,538,458.11/12,606.35
  6. Step 6: Final answer
    x = 8,371.85

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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.