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Finding the Fourth Proportional to 17,002.26, 23,462.82 and 9,448.59

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Solution

The fourth proportional to 17,002.26, 23,462.82 and 9,448.59 is: 13,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.26 : 23,462.82 = 9,448.59 : x
  2. Step 2: Convert to fraction form
    17,002.26/23,462.82 = 9,448.59/x
  3. Step 3: Cross multiply
    17,002.26x = 23,462.82 × 9,448.59
  4. Step 4: Simplify right side
    17,002.26x = 221,690,566.42
  5. Step 5: Solve for x
    x = 221,690,566.42/17,002.26
  6. Step 6: Final answer
    x = 13,038.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.