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Finding the Fourth Proportional to 16,267.50, 24,384.63 and 9,232.65

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Solution

The fourth proportional to 16,267.50, 24,384.63 and 9,232.65 is: 13,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.50 : 24,384.63 = 9,232.65 : x
  2. Step 2: Convert to fraction form
    16,267.50/24,384.63 = 9,232.65/x
  3. Step 3: Cross multiply
    16,267.50x = 24,384.63 × 9,232.65
  4. Step 4: Simplify right side
    16,267.50x = 225,134,736.86
  5. Step 5: Solve for x
    x = 225,134,736.86/16,267.50
  6. Step 6: Final answer
    x = 13,839.54

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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.