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Finding the Fourth Proportional to 12,782.09, 17,654.04 and 8,525.75

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Solution

The fourth proportional to 12,782.09, 17,654.04 and 8,525.75 is: 11,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.09 : 17,654.04 = 8,525.75 : x
  2. Step 2: Convert to fraction form
    12,782.09/17,654.04 = 8,525.75/x
  3. Step 3: Cross multiply
    12,782.09x = 17,654.04 × 8,525.75
  4. Step 4: Simplify right side
    12,782.09x = 150,513,931.53
  5. Step 5: Solve for x
    x = 150,513,931.53/12,782.09
  6. Step 6: Final answer
    x = 11,775.38

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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.