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Finding the Fourth Proportional to 24,290.94, 36,447.00 and 8,507.31

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Solution

The fourth proportional to 24,290.94, 36,447.00 and 8,507.31 is: 12,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,290.94 : 36,447.00 = 8,507.31 : x
  2. Step 2: Convert to fraction form
    24,290.94/36,447.00 = 8,507.31/x
  3. Step 3: Cross multiply
    24,290.94x = 36,447.00 × 8,507.31
  4. Step 4: Simplify right side
    24,290.94x = 310,065,758.99
  5. Step 5: Solve for x
    x = 310,065,758.99/24,290.94
  6. Step 6: Final answer
    x = 12,764.66

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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.