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Finding the Fourth Proportional to 17,754.16, 24,500.28 and 9,796

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Solution

The fourth proportional to 17,754.16, 24,500.28 and 9,796 is: 13,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.16 : 24,500.28 = 9,796 : x
  2. Step 2: Convert to fraction form
    17,754.16/24,500.28 = 9,796/x
  3. Step 3: Cross multiply
    17,754.16x = 24,500.28 × 9,796
  4. Step 4: Simplify right side
    17,754.16x = 240,004,742.88
  5. Step 5: Solve for x
    x = 240,004,742.88/17,754.16
  6. Step 6: Final answer
    x = 13,518.23

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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.