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Finding the Fourth Proportional to 16,495.90, 22,757.68 and 11,464.18

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Solution

The fourth proportional to 16,495.90, 22,757.68 and 11,464.18 is: 15,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.90 : 22,757.68 = 11,464.18 : x
  2. Step 2: Convert to fraction form
    16,495.90/22,757.68 = 11,464.18/x
  3. Step 3: Cross multiply
    16,495.90x = 22,757.68 × 11,464.18
  4. Step 4: Simplify right side
    16,495.90x = 260,898,139.90
  5. Step 5: Solve for x
    x = 260,898,139.90/16,495.90
  6. Step 6: Final answer
    x = 15,815.94

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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.