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Finding the Fourth Proportional to 16,891.91, 23,312.27 and 9,817.88

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Solution

The fourth proportional to 16,891.91, 23,312.27 and 9,817.88 is: 13,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,891.91 : 23,312.27 = 9,817.88 : x
  2. Step 2: Convert to fraction form
    16,891.91/23,312.27 = 9,817.88/x
  3. Step 3: Cross multiply
    16,891.91x = 23,312.27 × 9,817.88
  4. Step 4: Simplify right side
    16,891.91x = 228,876,977.37
  5. Step 5: Solve for x
    x = 228,876,977.37/16,891.91
  6. Step 6: Final answer
    x = 13,549.50

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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.