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Finding the Fourth Proportional to 17,404.25, 24,017.73 and 9,446.50

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Solution

The fourth proportional to 17,404.25, 24,017.73 and 9,446.50 is: 13,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404.25 : 24,017.73 = 9,446.50 : x
  2. Step 2: Convert to fraction form
    17,404.25/24,017.73 = 9,446.50/x
  3. Step 3: Cross multiply
    17,404.25x = 24,017.73 × 9,446.50
  4. Step 4: Simplify right side
    17,404.25x = 226,883,366.36
  5. Step 5: Solve for x
    x = 226,883,366.36/17,404.25
  6. Step 6: Final answer
    x = 13,036.09

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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.