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Finding the Fourth Proportional to 13,545, 20,320.80 and 4,311

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Solution

The fourth proportional to 13,545, 20,320.80 and 4,311 is: 6,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545 : 20,320.80 = 4,311 : x
  2. Step 2: Convert to fraction form
    13,545/20,320.80 = 4,311/x
  3. Step 3: Cross multiply
    13,545x = 20,320.80 × 4,311
  4. Step 4: Simplify right side
    13,545x = 87,602,968.80
  5. Step 5: Solve for x
    x = 87,602,968.80/13,545
  6. Step 6: Final answer
    x = 6,467.55

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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.