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Finding the Fourth Proportional to 13,461.60, 20,185.20 and 4,696.80

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Solution

The fourth proportional to 13,461.60, 20,185.20 and 4,696.80 is: 7,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.60 : 20,185.20 = 4,696.80 : x
  2. Step 2: Convert to fraction form
    13,461.60/20,185.20 = 4,696.80/x
  3. Step 3: Cross multiply
    13,461.60x = 20,185.20 × 4,696.80
  4. Step 4: Simplify right side
    13,461.60x = 94,805,847.36
  5. Step 5: Solve for x
    x = 94,805,847.36/13,461.60
  6. Step 6: Final answer
    x = 7,042.69

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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.