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Finding the Fourth Proportional to 24,546.69, 36,820.04 and 7,016.50

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Solution

The fourth proportional to 24,546.69, 36,820.04 and 7,016.50 is: 10,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.69 : 36,820.04 = 7,016.50 : x
  2. Step 2: Convert to fraction form
    24,546.69/36,820.04 = 7,016.50/x
  3. Step 3: Cross multiply
    24,546.69x = 36,820.04 × 7,016.50
  4. Step 4: Simplify right side
    24,546.69x = 258,347,810.66
  5. Step 5: Solve for x
    x = 258,347,810.66/24,546.69
  6. Step 6: Final answer
    x = 10,524.75

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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.