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Finding the Fourth Proportional to 24,379.64, 36,570.50 and 7,739.31

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Solution

The fourth proportional to 24,379.64, 36,570.50 and 7,739.31 is: 11,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.64 : 36,570.50 = 7,739.31 : x
  2. Step 2: Convert to fraction form
    24,379.64/36,570.50 = 7,739.31/x
  3. Step 3: Cross multiply
    24,379.64x = 36,570.50 × 7,739.31
  4. Step 4: Simplify right side
    24,379.64x = 283,030,436.36
  5. Step 5: Solve for x
    x = 283,030,436.36/24,379.64
  6. Step 6: Final answer
    x = 11,609.30

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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.