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Finding the Fourth Proportional to 12,672.80, 19,009.20 and 6,840.80

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Solution

The fourth proportional to 12,672.80, 19,009.20 and 6,840.80 is: 10,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672.80 : 19,009.20 = 6,840.80 : x
  2. Step 2: Convert to fraction form
    12,672.80/19,009.20 = 6,840.80/x
  3. Step 3: Cross multiply
    12,672.80x = 19,009.20 × 6,840.80
  4. Step 4: Simplify right side
    12,672.80x = 130,038,135.36
  5. Step 5: Solve for x
    x = 130,038,135.36/12,672.80
  6. Step 6: Final answer
    x = 10,261.20

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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.