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Finding the Fourth Proportional to 12,014.40, 18,043.20 and 8,731.20

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Solution

The fourth proportional to 12,014.40, 18,043.20 and 8,731.20 is: 13,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.40 : 18,043.20 = 8,731.20 : x
  2. Step 2: Convert to fraction form
    12,014.40/18,043.20 = 8,731.20/x
  3. Step 3: Cross multiply
    12,014.40x = 18,043.20 × 8,731.20
  4. Step 4: Simplify right side
    12,014.40x = 157,538,787.84
  5. Step 5: Solve for x
    x = 157,538,787.84/12,014.40
  6. Step 6: Final answer
    x = 13,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.