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Finding the Fourth Proportional to 12,777.25, 17,631.38 and 9,421.87

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Solution

The fourth proportional to 12,777.25, 17,631.38 and 9,421.87 is: 13,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.25 : 17,631.38 = 9,421.87 : x
  2. Step 2: Convert to fraction form
    12,777.25/17,631.38 = 9,421.87/x
  3. Step 3: Cross multiply
    12,777.25x = 17,631.38 × 9,421.87
  4. Step 4: Simplify right side
    12,777.25x = 166,120,570.28
  5. Step 5: Solve for x
    x = 166,120,570.28/12,777.25
  6. Step 6: Final answer
    x = 13,001.28

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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.