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Finding the Fourth Proportional to 12,801.60, 19,180.80 and 8,416.80

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Solution

The fourth proportional to 12,801.60, 19,180.80 and 8,416.80 is: 12,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.60 : 19,180.80 = 8,416.80 : x
  2. Step 2: Convert to fraction form
    12,801.60/19,180.80 = 8,416.80/x
  3. Step 3: Cross multiply
    12,801.60x = 19,180.80 × 8,416.80
  4. Step 4: Simplify right side
    12,801.60x = 161,440,957.44
  5. Step 5: Solve for x
    x = 161,440,957.44/12,801.60
  6. Step 6: Final answer
    x = 12,611.00

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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.