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Finding the Fourth Proportional to 16,312.68, 22,511.12 and 9,506.27

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Solution

The fourth proportional to 16,312.68, 22,511.12 and 9,506.27 is: 13,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.68 : 22,511.12 = 9,506.27 : x
  2. Step 2: Convert to fraction form
    16,312.68/22,511.12 = 9,506.27/x
  3. Step 3: Cross multiply
    16,312.68x = 22,511.12 × 9,506.27
  4. Step 4: Simplify right side
    16,312.68x = 213,996,728.44
  5. Step 5: Solve for x
    x = 213,996,728.44/16,312.68
  6. Step 6: Final answer
    x = 13,118.43

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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.