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Finding the Fourth Proportional to 17,588.94, 26,396.73 and 6,502.38

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Solution

The fourth proportional to 17,588.94, 26,396.73 and 6,502.38 is: 9,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.94 : 26,396.73 = 6,502.38 : x
  2. Step 2: Convert to fraction form
    17,588.94/26,396.73 = 6,502.38/x
  3. Step 3: Cross multiply
    17,588.94x = 26,396.73 × 6,502.38
  4. Step 4: Simplify right side
    17,588.94x = 171,641,569.22
  5. Step 5: Solve for x
    x = 171,641,569.22/17,588.94
  6. Step 6: Final answer
    x = 9,758.49

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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.