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Finding the Fourth Proportional to 24,540.42, 36,808.57 and 9,745.36

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Solution

The fourth proportional to 24,540.42, 36,808.57 and 9,745.36 is: 14,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540.42 : 36,808.57 = 9,745.36 : x
  2. Step 2: Convert to fraction form
    24,540.42/36,808.57 = 9,745.36/x
  3. Step 3: Cross multiply
    24,540.42x = 36,808.57 × 9,745.36
  4. Step 4: Simplify right side
    24,540.42x = 358,712,765.74
  5. Step 5: Solve for x
    x = 358,712,765.74/24,540.42
  6. Step 6: Final answer
    x = 14,617.22

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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.