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Finding the Fourth Proportional to 24,201.03, 36,297.05 and 7,561.47

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Solution

The fourth proportional to 24,201.03, 36,297.05 and 7,561.47 is: 11,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,201.03 : 36,297.05 = 7,561.47 : x
  2. Step 2: Convert to fraction form
    24,201.03/36,297.05 = 7,561.47/x
  3. Step 3: Cross multiply
    24,201.03x = 36,297.05 × 7,561.47
  4. Step 4: Simplify right side
    24,201.03x = 274,459,016.86
  5. Step 5: Solve for x
    x = 274,459,016.86/24,201.03
  6. Step 6: Final answer
    x = 11,340.80

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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.