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Finding the Fourth Proportional to 13,485.92, 18,605.22 and 8,178.80

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Solution

The fourth proportional to 13,485.92, 18,605.22 and 8,178.80 is: 11,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.92 : 18,605.22 = 8,178.80 : x
  2. Step 2: Convert to fraction form
    13,485.92/18,605.22 = 8,178.80/x
  3. Step 3: Cross multiply
    13,485.92x = 18,605.22 × 8,178.80
  4. Step 4: Simplify right side
    13,485.92x = 152,168,373.34
  5. Step 5: Solve for x
    x = 152,168,373.34/13,485.92
  6. Step 6: Final answer
    x = 11,283.50

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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.