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Finding the Fourth Proportional to 12,378.08, 18,559.44 and 5,801.44

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Solution

The fourth proportional to 12,378.08, 18,559.44 and 5,801.44 is: 8,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.08 : 18,559.44 = 5,801.44 : x
  2. Step 2: Convert to fraction form
    12,378.08/18,559.44 = 5,801.44/x
  3. Step 3: Cross multiply
    12,378.08x = 18,559.44 × 5,801.44
  4. Step 4: Simplify right side
    12,378.08x = 107,671,477.59
  5. Step 5: Solve for x
    x = 107,671,477.59/12,378.08
  6. Step 6: Final answer
    x = 8,698.56

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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.