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Finding the Fourth Proportional to 17,448, 26,171.91 and 9,673.26

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Solution

The fourth proportional to 17,448, 26,171.91 and 9,673.26 is: 14,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,448 : 26,171.91 = 9,673.26 : x
  2. Step 2: Convert to fraction form
    17,448/26,171.91 = 9,673.26/x
  3. Step 3: Cross multiply
    17,448x = 26,171.91 × 9,673.26
  4. Step 4: Simplify right side
    17,448x = 253,167,690.13
  5. Step 5: Solve for x
    x = 253,167,690.13/17,448
  6. Step 6: Final answer
    x = 14,509.84

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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.