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Finding the Fourth Proportional to 24,090.32, 36,131.88 and 8,297.84

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Solution

The fourth proportional to 24,090.32, 36,131.88 and 8,297.84 is: 12,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,090.32 : 36,131.88 = 8,297.84 : x
  2. Step 2: Convert to fraction form
    24,090.32/36,131.88 = 8,297.84/x
  3. Step 3: Cross multiply
    24,090.32x = 36,131.88 × 8,297.84
  4. Step 4: Simplify right side
    24,090.32x = 299,816,559.14
  5. Step 5: Solve for x
    x = 299,816,559.14/24,090.32
  6. Step 6: Final answer
    x = 12,445.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.