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Finding the Fourth Proportional to 25,695.64, 38,556.02 and 11,664.82

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Solution

The fourth proportional to 25,695.64, 38,556.02 and 11,664.82 is: 17,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695.64 : 38,556.02 = 11,664.82 : x
  2. Step 2: Convert to fraction form
    25,695.64/38,556.02 = 11,664.82/x
  3. Step 3: Cross multiply
    25,695.64x = 38,556.02 × 11,664.82
  4. Step 4: Simplify right side
    25,695.64x = 449,749,033.22
  5. Step 5: Solve for x
    x = 449,749,033.22/25,695.64
  6. Step 6: Final answer
    x = 17,502.93

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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.