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Finding the Fourth Proportional to 17,661.88, 26,495.70 and 5,347

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Solution

The fourth proportional to 17,661.88, 26,495.70 and 5,347 is: 8,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.88 : 26,495.70 = 5,347 : x
  2. Step 2: Convert to fraction form
    17,661.88/26,495.70 = 5,347/x
  3. Step 3: Cross multiply
    17,661.88x = 26,495.70 × 5,347
  4. Step 4: Simplify right side
    17,661.88x = 141,672,507.90
  5. Step 5: Solve for x
    x = 141,672,507.90/17,661.88
  6. Step 6: Final answer
    x = 8,021.37

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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.