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Finding the Fourth Proportional to 17,583.72, 24,266.10 and 9,625.94

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Solution

The fourth proportional to 17,583.72, 24,266.10 and 9,625.94 is: 13,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.72 : 24,266.10 = 9,625.94 : x
  2. Step 2: Convert to fraction form
    17,583.72/24,266.10 = 9,625.94/x
  3. Step 3: Cross multiply
    17,583.72x = 24,266.10 × 9,625.94
  4. Step 4: Simplify right side
    17,583.72x = 233,584,022.63
  5. Step 5: Solve for x
    x = 233,584,022.63/17,583.72
  6. Step 6: Final answer
    x = 13,284.11

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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.