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Finding the Fourth Proportional to 13,164.78, 19,730.16 and 9,851.88

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Solution

The fourth proportional to 13,164.78, 19,730.16 and 9,851.88 is: 14,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.78 : 19,730.16 = 9,851.88 : x
  2. Step 2: Convert to fraction form
    13,164.78/19,730.16 = 9,851.88/x
  3. Step 3: Cross multiply
    13,164.78x = 19,730.16 × 9,851.88
  4. Step 4: Simplify right side
    13,164.78x = 194,379,168.70
  5. Step 5: Solve for x
    x = 194,379,168.70/13,164.78
  6. Step 6: Final answer
    x = 14,765.09

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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.