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Finding the Fourth Proportional to 24,537.30, 36,739.94 and 12,825.92

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Solution

The fourth proportional to 24,537.30, 36,739.94 and 12,825.92 is: 19,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.30 : 36,739.94 = 12,825.92 : x
  2. Step 2: Convert to fraction form
    24,537.30/36,739.94 = 12,825.92/x
  3. Step 3: Cross multiply
    24,537.30x = 36,739.94 × 12,825.92
  4. Step 4: Simplify right side
    24,537.30x = 471,223,531.24
  5. Step 5: Solve for x
    x = 471,223,531.24/24,537.30
  6. Step 6: Final answer
    x = 19,204.38

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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.