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Finding the Fourth Proportional to 17,584.34, 24,266.31 and 9,518.00

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Solution

The fourth proportional to 17,584.34, 24,266.31 and 9,518.00 is: 13,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.34 : 24,266.31 = 9,518.00 : x
  2. Step 2: Convert to fraction form
    17,584.34/24,266.31 = 9,518.00/x
  3. Step 3: Cross multiply
    17,584.34x = 24,266.31 × 9,518.00
  4. Step 4: Simplify right side
    17,584.34x = 230,966,617.25
  5. Step 5: Solve for x
    x = 230,966,617.25/17,584.34
  6. Step 6: Final answer
    x = 13,134.79

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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.