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Finding the Fourth Proportional to 13,257.02, 18,292.92 and 8,219.41

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Solution

The fourth proportional to 13,257.02, 18,292.92 and 8,219.41 is: 11,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.02 : 18,292.92 = 8,219.41 : x
  2. Step 2: Convert to fraction form
    13,257.02/18,292.92 = 8,219.41/x
  3. Step 3: Cross multiply
    13,257.02x = 18,292.92 × 8,219.41
  4. Step 4: Simplify right side
    13,257.02x = 150,356,963.84
  5. Step 5: Solve for x
    x = 150,356,963.84/13,257.02
  6. Step 6: Final answer
    x = 11,341.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.