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Finding the Fourth Proportional to 16,538.88, 22,823.81 and 8,985.27

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Solution

The fourth proportional to 16,538.88, 22,823.81 and 8,985.27 is: 12,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.88 : 22,823.81 = 8,985.27 : x
  2. Step 2: Convert to fraction form
    16,538.88/22,823.81 = 8,985.27/x
  3. Step 3: Cross multiply
    16,538.88x = 22,823.81 × 8,985.27
  4. Step 4: Simplify right side
    16,538.88x = 205,078,095.28
  5. Step 5: Solve for x
    x = 205,078,095.28/16,538.88
  6. Step 6: Final answer
    x = 12,399.76

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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.