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Finding the Fourth Proportional to 17,536.25, 24,200.02 and 9,578.50

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Solution

The fourth proportional to 17,536.25, 24,200.02 and 9,578.50 is: 13,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.25 : 24,200.02 = 9,578.50 : x
  2. Step 2: Convert to fraction form
    17,536.25/24,200.02 = 9,578.50/x
  3. Step 3: Cross multiply
    17,536.25x = 24,200.02 × 9,578.50
  4. Step 4: Simplify right side
    17,536.25x = 231,799,807.12
  5. Step 5: Solve for x
    x = 231,799,807.12/17,536.25
  6. Step 6: Final answer
    x = 13,218.32

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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.