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Finding the Fourth Proportional to 24,523.58, 36,808.46 and 12,845

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Solution

The fourth proportional to 24,523.58, 36,808.46 and 12,845 is: 19,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.58 : 36,808.46 = 12,845 : x
  2. Step 2: Convert to fraction form
    24,523.58/36,808.46 = 12,845/x
  3. Step 3: Cross multiply
    24,523.58x = 36,808.46 × 12,845
  4. Step 4: Simplify right side
    24,523.58x = 472,804,668.70
  5. Step 5: Solve for x
    x = 472,804,668.70/24,523.58
  6. Step 6: Final answer
    x = 19,279.59

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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.