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Finding the Fourth Proportional to 16,538.64, 22,823.82 and 9,368.43

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Solution

The fourth proportional to 16,538.64, 22,823.82 and 9,368.43 is: 12,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.64 : 22,823.82 = 9,368.43 : x
  2. Step 2: Convert to fraction form
    16,538.64/22,823.82 = 9,368.43/x
  3. Step 3: Cross multiply
    16,538.64x = 22,823.82 × 9,368.43
  4. Step 4: Simplify right side
    16,538.64x = 213,823,360.00
  5. Step 5: Solve for x
    x = 213,823,360.00/16,538.64
  6. Step 6: Final answer
    x = 12,928.71

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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.