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Finding the Fourth Proportional to 17,735.33, 26,603.13 and 7,871.96

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Solution

The fourth proportional to 17,735.33, 26,603.13 and 7,871.96 is: 11,808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.33 : 26,603.13 = 7,871.96 : x
  2. Step 2: Convert to fraction form
    17,735.33/26,603.13 = 7,871.96/x
  3. Step 3: Cross multiply
    17,735.33x = 26,603.13 × 7,871.96
  4. Step 4: Simplify right side
    17,735.33x = 209,418,775.23
  5. Step 5: Solve for x
    x = 209,418,775.23/17,735.33
  6. Step 6: Final answer
    x = 11,808.00

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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.