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Finding the Fourth Proportional to 16,452.42, 24,678.22 and 7,697.13

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Solution

The fourth proportional to 16,452.42, 24,678.22 and 7,697.13 is: 11,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.42 : 24,678.22 = 7,697.13 : x
  2. Step 2: Convert to fraction form
    16,452.42/24,678.22 = 7,697.13/x
  3. Step 3: Cross multiply
    16,452.42x = 24,678.22 × 7,697.13
  4. Step 4: Simplify right side
    16,452.42x = 189,951,467.51
  5. Step 5: Solve for x
    x = 189,951,467.51/16,452.42
  6. Step 6: Final answer
    x = 11,545.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.