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Finding the Fourth Proportional to 24,122, 36,182.64 and 8,535.80

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Solution

The fourth proportional to 24,122, 36,182.64 and 8,535.80 is: 12,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122 : 36,182.64 = 8,535.80 : x
  2. Step 2: Convert to fraction form
    24,122/36,182.64 = 8,535.80/x
  3. Step 3: Cross multiply
    24,122x = 36,182.64 × 8,535.80
  4. Step 4: Simplify right side
    24,122x = 308,847,778.51
  5. Step 5: Solve for x
    x = 308,847,778.51/24,122
  6. Step 6: Final answer
    x = 12,803.57

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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.