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Finding the Fourth Proportional to 17,031.71, 25,548.21 and 7,669.94

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Solution

The fourth proportional to 17,031.71, 25,548.21 and 7,669.94 is: 11,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,031.71 : 25,548.21 = 7,669.94 : x
  2. Step 2: Convert to fraction form
    17,031.71/25,548.21 = 7,669.94/x
  3. Step 3: Cross multiply
    17,031.71x = 25,548.21 × 7,669.94
  4. Step 4: Simplify right side
    17,031.71x = 195,953,110.07
  5. Step 5: Solve for x
    x = 195,953,110.07/17,031.71
  6. Step 6: Final answer
    x = 11,505.19

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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.