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Finding the Fourth Proportional to 17,597.24, 24,284.04 and 9,639.50

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Solution

The fourth proportional to 17,597.24, 24,284.04 and 9,639.50 is: 13,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,597.24 : 24,284.04 = 9,639.50 : x
  2. Step 2: Convert to fraction form
    17,597.24/24,284.04 = 9,639.50/x
  3. Step 3: Cross multiply
    17,597.24x = 24,284.04 × 9,639.50
  4. Step 4: Simplify right side
    17,597.24x = 234,085,882.16
  5. Step 5: Solve for x
    x = 234,085,882.16/17,597.24
  6. Step 6: Final answer
    x = 13,302.42

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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.