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Finding the Fourth Proportional to 16,226.26, 24,384.83 and 9,653.46

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Solution

The fourth proportional to 16,226.26, 24,384.83 and 9,653.46 is: 14,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.26 : 24,384.83 = 9,653.46 : x
  2. Step 2: Convert to fraction form
    16,226.26/24,384.83 = 9,653.46/x
  3. Step 3: Cross multiply
    16,226.26x = 24,384.83 × 9,653.46
  4. Step 4: Simplify right side
    16,226.26x = 235,397,981.01
  5. Step 5: Solve for x
    x = 235,397,981.01/16,226.26
  6. Step 6: Final answer
    x = 14,507.22

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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.