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Finding the Fourth Proportional to 17,886.24, 24,682.64 and 9,928

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Solution

The fourth proportional to 17,886.24, 24,682.64 and 9,928 is: 13,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.24 : 24,682.64 = 9,928 : x
  2. Step 2: Convert to fraction form
    17,886.24/24,682.64 = 9,928/x
  3. Step 3: Cross multiply
    17,886.24x = 24,682.64 × 9,928
  4. Step 4: Simplify right side
    17,886.24x = 245,049,249.92
  5. Step 5: Solve for x
    x = 245,049,249.92/17,886.24
  6. Step 6: Final answer
    x = 13,700.43

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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.