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Finding the Fourth Proportional to 17,658.33, 26,462.87 and 13,270.65

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Solution

The fourth proportional to 17,658.33, 26,462.87 and 13,270.65 is: 19,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.33 : 26,462.87 = 13,270.65 : x
  2. Step 2: Convert to fraction form
    17,658.33/26,462.87 = 13,270.65/x
  3. Step 3: Cross multiply
    17,658.33x = 26,462.87 × 13,270.65
  4. Step 4: Simplify right side
    17,658.33x = 351,179,419.41
  5. Step 5: Solve for x
    x = 351,179,419.41/17,658.33
  6. Step 6: Final answer
    x = 19,887.46

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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.