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Finding the Fourth Proportional to 23,765.08, 35,624.10 and 11,263

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Solution

The fourth proportional to 23,765.08, 35,624.10 and 11,263 is: 16,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.08 : 35,624.10 = 11,263 : x
  2. Step 2: Convert to fraction form
    23,765.08/35,624.10 = 11,263/x
  3. Step 3: Cross multiply
    23,765.08x = 35,624.10 × 11,263
  4. Step 4: Simplify right side
    23,765.08x = 401,234,238.30
  5. Step 5: Solve for x
    x = 401,234,238.30/23,765.08
  6. Step 6: Final answer
    x = 16,883.35

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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.