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Finding the Fourth Proportional to 16,438.74, 24,672.75 and 7,678.59

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Solution

The fourth proportional to 16,438.74, 24,672.75 and 7,678.59 is: 11,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.74 : 24,672.75 = 7,678.59 : x
  2. Step 2: Convert to fraction form
    16,438.74/24,672.75 = 7,678.59/x
  3. Step 3: Cross multiply
    16,438.74x = 24,672.75 × 7,678.59
  4. Step 4: Simplify right side
    16,438.74x = 189,451,931.42
  5. Step 5: Solve for x
    x = 189,451,931.42/16,438.74
  6. Step 6: Final answer
    x = 11,524.72

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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.