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Finding the Fourth Proportional to 16,224.94, 24,332.37 and 6,864.80

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Solution

The fourth proportional to 16,224.94, 24,332.37 and 6,864.80 is: 10,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.94 : 24,332.37 = 6,864.80 : x
  2. Step 2: Convert to fraction form
    16,224.94/24,332.37 = 6,864.80/x
  3. Step 3: Cross multiply
    16,224.94x = 24,332.37 × 6,864.80
  4. Step 4: Simplify right side
    16,224.94x = 167,036,853.58
  5. Step 5: Solve for x
    x = 167,036,853.58/16,224.94
  6. Step 6: Final answer
    x = 10,295.07

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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.