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Finding the Fourth Proportional to 16,516.57, 22,796.16 and 9,805.90

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Solution

The fourth proportional to 16,516.57, 22,796.16 and 9,805.90 is: 13,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.57 : 22,796.16 = 9,805.90 : x
  2. Step 2: Convert to fraction form
    16,516.57/22,796.16 = 9,805.90/x
  3. Step 3: Cross multiply
    16,516.57x = 22,796.16 × 9,805.90
  4. Step 4: Simplify right side
    16,516.57x = 223,536,865.34
  5. Step 5: Solve for x
    x = 223,536,865.34/16,516.57
  6. Step 6: Final answer
    x = 13,534.10

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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.