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Finding the Fourth Proportional to 12,852.40, 19,280.40 and 5,456.80

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Solution

The fourth proportional to 12,852.40, 19,280.40 and 5,456.80 is: 8,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.40 : 19,280.40 = 5,456.80 : x
  2. Step 2: Convert to fraction form
    12,852.40/19,280.40 = 5,456.80/x
  3. Step 3: Cross multiply
    12,852.40x = 19,280.40 × 5,456.80
  4. Step 4: Simplify right side
    12,852.40x = 105,209,286.72
  5. Step 5: Solve for x
    x = 105,209,286.72/12,852.40
  6. Step 6: Final answer
    x = 8,185.96

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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.