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Finding the Fourth Proportional to 24,129.36, 36,174.96 and 15,678

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Solution

The fourth proportional to 24,129.36, 36,174.96 and 15,678 is: 23,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,129.36 : 36,174.96 = 15,678 : x
  2. Step 2: Convert to fraction form
    24,129.36/36,174.96 = 15,678/x
  3. Step 3: Cross multiply
    24,129.36x = 36,174.96 × 15,678
  4. Step 4: Simplify right side
    24,129.36x = 567,151,022.88
  5. Step 5: Solve for x
    x = 567,151,022.88/24,129.36
  6. Step 6: Final answer
    x = 23,504.60

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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.