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Finding the Fourth Proportional to 13,548.20, 20,312.70 and 6,156.20

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Solution

The fourth proportional to 13,548.20, 20,312.70 and 6,156.20 is: 9,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.20 : 20,312.70 = 6,156.20 : x
  2. Step 2: Convert to fraction form
    13,548.20/20,312.70 = 6,156.20/x
  3. Step 3: Cross multiply
    13,548.20x = 20,312.70 × 6,156.20
  4. Step 4: Simplify right side
    13,548.20x = 125,049,043.74
  5. Step 5: Solve for x
    x = 125,049,043.74/13,548.20
  6. Step 6: Final answer
    x = 9,229.94

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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.