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Finding the Fourth Proportional to 24,378.50, 36,573.23 and 7,739.08

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Solution

The fourth proportional to 24,378.50, 36,573.23 and 7,739.08 is: 11,610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.50 : 36,573.23 = 7,739.08 : x
  2. Step 2: Convert to fraction form
    24,378.50/36,573.23 = 7,739.08/x
  3. Step 3: Cross multiply
    24,378.50x = 36,573.23 × 7,739.08
  4. Step 4: Simplify right side
    24,378.50x = 283,043,080.74
  5. Step 5: Solve for x
    x = 283,043,080.74/24,378.50
  6. Step 6: Final answer
    x = 11,610.36

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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.