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Finding the Fourth Proportional to 11,767.01, 17,622.70 and 9,285.23

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Solution

The fourth proportional to 11,767.01, 17,622.70 and 9,285.23 is: 13,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.01 : 17,622.70 = 9,285.23 : x
  2. Step 2: Convert to fraction form
    11,767.01/17,622.70 = 9,285.23/x
  3. Step 3: Cross multiply
    11,767.01x = 17,622.70 × 9,285.23
  4. Step 4: Simplify right side
    11,767.01x = 163,630,843.56
  5. Step 5: Solve for x
    x = 163,630,843.56/11,767.01
  6. Step 6: Final answer
    x = 13,905.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.