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Finding the Fourth Proportional to 24,090.12, 36,138.58 and 7,451.62

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Solution

The fourth proportional to 24,090.12, 36,138.58 and 7,451.62 is: 11,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,090.12 : 36,138.58 = 7,451.62 : x
  2. Step 2: Convert to fraction form
    24,090.12/36,138.58 = 7,451.62/x
  3. Step 3: Cross multiply
    24,090.12x = 36,138.58 × 7,451.62
  4. Step 4: Simplify right side
    24,090.12x = 269,290,965.50
  5. Step 5: Solve for x
    x = 269,290,965.50/24,090.12
  6. Step 6: Final answer
    x = 11,178.48

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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.