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Finding the Fourth Proportional to 23,749.34, 35,624.03 and 8,166.96

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Solution

The fourth proportional to 23,749.34, 35,624.03 and 8,166.96 is: 12,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,749.34 : 35,624.03 = 8,166.96 : x
  2. Step 2: Convert to fraction form
    23,749.34/35,624.03 = 8,166.96/x
  3. Step 3: Cross multiply
    23,749.34x = 35,624.03 × 8,166.96
  4. Step 4: Simplify right side
    23,749.34x = 290,939,987.21
  5. Step 5: Solve for x
    x = 290,939,987.21/23,749.34
  6. Step 6: Final answer
    x = 12,250.45

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Why These Related Problems?

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