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Finding the Fourth Proportional to 16,452.36, 24,678.90 and 7,684.92

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Solution

The fourth proportional to 16,452.36, 24,678.90 and 7,684.92 is: 11,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.36 : 24,678.90 = 7,684.92 : x
  2. Step 2: Convert to fraction form
    16,452.36/24,678.90 = 7,684.92/x
  3. Step 3: Cross multiply
    16,452.36x = 24,678.90 × 7,684.92
  4. Step 4: Simplify right side
    16,452.36x = 189,655,372.19
  5. Step 5: Solve for x
    x = 189,655,372.19/16,452.36
  6. Step 6: Final answer
    x = 11,527.55

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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.