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Finding the Fourth Proportional to 12,869.12, 17,765.76 and 9,100.64

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Solution

The fourth proportional to 12,869.12, 17,765.76 and 9,100.64 is: 12,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.12 : 17,765.76 = 9,100.64 : x
  2. Step 2: Convert to fraction form
    12,869.12/17,765.76 = 9,100.64/x
  3. Step 3: Cross multiply
    12,869.12x = 17,765.76 × 9,100.64
  4. Step 4: Simplify right side
    12,869.12x = 161,679,786.09
  5. Step 5: Solve for x
    x = 161,679,786.09/12,869.12
  6. Step 6: Final answer
    x = 12,563.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.