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Finding the Fourth Proportional to 16,222.42, 24,333.31 and 9,899.16

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Solution

The fourth proportional to 16,222.42, 24,333.31 and 9,899.16 is: 14,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.42 : 24,333.31 = 9,899.16 : x
  2. Step 2: Convert to fraction form
    16,222.42/24,333.31 = 9,899.16/x
  3. Step 3: Cross multiply
    16,222.42x = 24,333.31 × 9,899.16
  4. Step 4: Simplify right side
    16,222.42x = 240,879,329.02
  5. Step 5: Solve for x
    x = 240,879,329.02/16,222.42
  6. Step 6: Final answer
    x = 14,848.54

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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.