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Finding the Fourth Proportional to 24,406.42, 36,620.12 and 7,767.81

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Solution

The fourth proportional to 24,406.42, 36,620.12 and 7,767.81 is: 11,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,406.42 : 36,620.12 = 7,767.81 : x
  2. Step 2: Convert to fraction form
    24,406.42/36,620.12 = 7,767.81/x
  3. Step 3: Cross multiply
    24,406.42x = 36,620.12 × 7,767.81
  4. Step 4: Simplify right side
    24,406.42x = 284,458,134.34
  5. Step 5: Solve for x
    x = 284,458,134.34/24,406.42
  6. Step 6: Final answer
    x = 11,655.05

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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.