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Finding the Fourth Proportional to 12,349.44, 18,571.20 and 9,856.32

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Solution

The fourth proportional to 12,349.44, 18,571.20 and 9,856.32 is: 14,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.44 : 18,571.20 = 9,856.32 : x
  2. Step 2: Convert to fraction form
    12,349.44/18,571.20 = 9,856.32/x
  3. Step 3: Cross multiply
    12,349.44x = 18,571.20 × 9,856.32
  4. Step 4: Simplify right side
    12,349.44x = 183,043,689.98
  5. Step 5: Solve for x
    x = 183,043,689.98/12,349.44
  6. Step 6: Final answer
    x = 14,822.02

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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.