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Finding the Fourth Proportional to 17,583.30, 24,264.63 and 9,625.38

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Solution

The fourth proportional to 17,583.30, 24,264.63 and 9,625.38 is: 13,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.30 : 24,264.63 = 9,625.38 : x
  2. Step 2: Convert to fraction form
    17,583.30/24,264.63 = 9,625.38/x
  3. Step 3: Cross multiply
    17,583.30x = 24,264.63 × 9,625.38
  4. Step 4: Simplify right side
    17,583.30x = 233,556,284.31
  5. Step 5: Solve for x
    x = 233,556,284.31/17,583.30
  6. Step 6: Final answer
    x = 13,282.85

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Why These Related Problems?

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