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Finding the Fourth Proportional to 16,222.72, 24,316.08 and 7,448.80

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Solution

The fourth proportional to 16,222.72, 24,316.08 and 7,448.80 is: 11,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.72 : 24,316.08 = 7,448.80 : x
  2. Step 2: Convert to fraction form
    16,222.72/24,316.08 = 7,448.80/x
  3. Step 3: Cross multiply
    16,222.72x = 24,316.08 × 7,448.80
  4. Step 4: Simplify right side
    16,222.72x = 181,125,616.70
  5. Step 5: Solve for x
    x = 181,125,616.70/16,222.72
  6. Step 6: Final answer
    x = 11,164.94

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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.