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Finding the Fourth Proportional to 27,602.44, 41,408.70 and 12,809.32

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Solution

The fourth proportional to 27,602.44, 41,408.70 and 12,809.32 is: 19,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.44 : 41,408.70 = 12,809.32 : x
  2. Step 2: Convert to fraction form
    27,602.44/41,408.70 = 12,809.32/x
  3. Step 3: Cross multiply
    27,602.44x = 41,408.70 × 12,809.32
  4. Step 4: Simplify right side
    27,602.44x = 530,417,289.08
  5. Step 5: Solve for x
    x = 530,417,289.08/27,602.44
  6. Step 6: Final answer
    x = 19,216.32

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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.