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Finding the Fourth Proportional to 24,463.50, 36,674.52 and 9,682.84

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Solution

The fourth proportional to 24,463.50, 36,674.52 and 9,682.84 is: 14,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,463.50 : 36,674.52 = 9,682.84 : x
  2. Step 2: Convert to fraction form
    24,463.50/36,674.52 = 9,682.84/x
  3. Step 3: Cross multiply
    24,463.50x = 36,674.52 × 9,682.84
  4. Step 4: Simplify right side
    24,463.50x = 355,113,509.24
  5. Step 5: Solve for x
    x = 355,113,509.24/24,463.50
  6. Step 6: Final answer
    x = 14,516.06

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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.