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Finding the Fourth Proportional to 16,145.67, 24,204.16 and 6,282.65

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Solution

The fourth proportional to 16,145.67, 24,204.16 and 6,282.65 is: 9,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.67 : 24,204.16 = 6,282.65 : x
  2. Step 2: Convert to fraction form
    16,145.67/24,204.16 = 6,282.65/x
  3. Step 3: Cross multiply
    16,145.67x = 24,204.16 × 6,282.65
  4. Step 4: Simplify right side
    16,145.67x = 152,066,152.66
  5. Step 5: Solve for x
    x = 152,066,152.66/16,145.67
  6. Step 6: Final answer
    x = 9,418.38

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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.